![The number of sides that a regular polygon with an interior angle of 120 degrees has is: 6 sides.. How to Find the Number of Sides of a Regular Polygon. If we know the size of one interior angle of a regular polygon, we can find the number of sides of the polygon.; Use the formula: interior angle = [(n - 2)180]/n Let's assume the given …. How many sides does polygon has](/img/512x512/1240789848404.webp)
The sum of the interior angles in a polygon depends on the number of sides it has. The Polygon Sum Formula states that for any n − gon, the interior angles add up to ( n − 2) × 180 ∘. → n = 8 ( 8 − 2) × 180 ∘ 6 × 180 ∘ 1 080 ∘. Once you know the sum of the interior angles in a polygon it is easy to find the measure of ONE ...How many sides would a regular polygon have with an interior angle of 178 degrees? If interior angle is 178o then the exterior angle = 180 - 178 = 2o So the number of sides = 360 / 2 = 180 sides.Nov 21, 2023 · Polygons aren't limited to the common ones we know but can get pretty complex and have as many sides as are needed. They can have 4 sides, 44 sides, or even 444 sides. A convex polygon has 44 diagonals. Hwo many sides does it have? Hwo many sides does it have? (clue : No. of diagonals in a covex polygon = n ( n − 3 ) / 2 ; where n = sides in the polygon)1 Answer. Obviously the question is worded wrongly. In any polygon, the number of diagonals is one less than a triangular number, and 60+1=61 is not triangular. …The polygon has 20 sides. So, n = 20. Sum of the exterior angles of polygons = 360° So, each exterior angle = 360°n = 360°20 = 18° Example 4: The sum of the interior angles of a polygon is 1620°. How many sides does it have? Solution: Sum of the interior angles of a polygon with n sides = (n – 2) × 180° 1620° = (n – 2) × 180° n ...A regular polygon has interior angles that are 5 times larger than each of its exterior angles. How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles of a dodecagon are #30^@#, so they sum to #12xx30^@ = 360^@# The interior angles ...I believe it may be a 20-sided polygon (a 20-gon). Usually the interior and exterior angles add up to 180. 180 - 162 = 18 So 18 is the exterior angle. Since the exterior angles add up to 360 degrees 360/18 = 20 There you have your answer.The number of sides in a polygon can vary, and different polygons have different shapes and side lengths. For example, a triangle has three sides, a quadrilateral has four …Jun 12, 2016 · Since the figure with angles measuring #0˚# is 1 lines, then the figure with interior angles of #720˚# has #1 + 5 = 6# sides. Practice exercises: The interior angles of a polygon add up to #3960˚#. How many sides does this polygon have? Hopefully this helps, and good luck! 6 days ago ... how many sides does the polygon haveDo all polygons have 4 sides? Can a polygon have 12 sides? Does a polygon have 8 sides?1）A polygon is a shape that has STRAIGHT sides. 2）They MUST have sides that are closed. 3）They also NEED to have at least three sides. 4）They have the same …The next lesson in:Polygons 2 (Interior and Exterior)is:Find missing angles when two or more polygons are joined. Subjects Schedule. In this lesson, we will find the number of sides of a polygon when given only the sum of interior angles.See full list on mathsisfun.com Apr 8, 2023 · Six is the number of sides that the polygon has. This is a hexagon, so we can check this reasoning by finding the interior angle to be 120 degrees, which is the measure of the interior angle of a hexagon. The general formula using the exterior angles of a regular polygon follows: The formula to find the number of sides of a regular polygon is as follows: Number of Sides of a Regular Polygon = 360° / Magnitude of each exterior angle. Therefore, the number …How many Sides does a polygon have with 175.2 degree angles? Updated: 4/28/2022. Wiki User. ∙ 11y ago. Study now. See answer (1) Best Answer. Copy. If its a regular polygon and each interior angle measures 175.2 degrees then it will have 75 sides. Wiki User. ∙ 11y ago. This answer is:Each exterior angle is 180-165 = 15 degrees and so it has 360/15 = 24 sides. It cannot be a regular polygon with interior angles of 24 degrees since the smallest interior angle in a regular polygon is 60 degrees. If it is an irregular polygon, then any one of them, with 3 or more sides, can have an angle of 24 degrees.Jul 9, 2017 · How many sides does the polygon have? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer sjc Jul 9, 2017 #18 " sides "# ... Consider a triangle, a polygon with three sides. The sum of the interior angle measures is #180˚#. Consider any quadrilateral, a polygon with four sides. The sum of the interior angles measures #360˚#. We can therefore deduce that for each polygon with an additional side has #180˚# more than the previous figure. This forms an arithmetic series.18 Jun 2014 ... regular polygon is a polygon whose sides are congruent (equal). The ... How do you find the measure of one interior angle of a polygon. Brian ...27 Sept 2017 ... Question From- Ncert Maths Class 8 Chapter 3.2 Example Question - 4 Linear Equations In One Variable Cbse Rbse Up Mp Bihar Board ...Get free real-time information on CHF/MATIC quotes including CHF/MATIC live chart. Indices Commodities Currencies StocksThe reason is that the only that is sure is that sum of all exterior angles of any polygon is always 360^@. As one angle is 12^@, only thing you can say is that sum of remaining angles is 360^@-12^@=348^@. You do not know about other angles and number of sides could be any number. For example, if other angles are 1^@ each, we may have …So, the an exterior angle of the given regular polygon : = (360°/n) By, comparing the two values of an exterior angle of the given regular polygon, we get : 360/n = 6 . n × 6 = 360. n = 360/6. n = 60 . Number of sides of the regular polygon = n = 60 (This will be considered as the final result.) Hence, the number of the sides of the regular ...Use the exterior angle sum property of the polygon to find the number of sides: It is given that a regular polygon has the measure of an exterior angle 24 °. (number of sides) × (the measure of each exterior angle) = 360 ° [Using exterior …A polygon of n sides has n vertices. By joining any two vertices of a polygon, we obtain either a side or a diagonal of the polygon. Number of line segments obtained by joining the vertices of a n sided polygon taken two at a time. = Number of ways of selecting 2 out of n. =n C2 = n(n−1) 2. Out of these lines, n lines are the sides of the ...In Euclidean geometry, a regular polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex, star or skew.In the limit, a sequence of regular polygons with an increasing number of sides approximates a circle, if the perimeter or area is fixed, or a …12 May 2017 ... This is a video about How Many Sides Does A Polygon Have Subscribe for more video ▷▷ http://bit.ly/2Mjf4tw #NEW VIDEO# ...an octagon is a polygon. an octagon has 8 sides. a polygon is a shape with closed sides. If the sum of the interior angle measures of a polygon is 1440 how many sides does the polygon have? The polygon would have 10 sides.The sum of the interior angles in a regular polygon is given by the formula 180 (n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180 (8 – 2) = 180 (6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.A regular convex polygon with an exterior angle measure of 20° has 18 sides. Explanation: When a regular convex polygon has an exterior angle measure of 20°, we can use the formula 360° divided by the exterior angle to find the number of sides. In this case, 360° divided by 20° equals 18. Therefore, the polygon has 18 sides.18 sides A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°. For a regular polygon, the size of each exterior angle, theta can be found from: theta = (360°)/n" "larr where n = number of sides Using this property, if you know the size of the exterior angle, you can …Each interior angle of a polygon is 135. How many sides does it have? (a) 10. (b) 8. (c) 6. (d) 5. Q. Tick ( ) the correct answer: Each interior angle of a polygon is 108°. an octagon is a polygon. an octagon has 8 sides. a polygon is a shape with closed sides. If the sum of the interior angle measures of a polygon is 1440 how many sides does the polygon have? The polygon would have 10 sides.Apr 28, 2022 · A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the ... Nov 30, 2015 · How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles ... The interior angle of a regular polygon is 156 deg. Hence each exterior angle is 180–156 = 24 deg. So the polygon has 360/24 = 15 sides. Suggest Corrections. 122.Apr 28, 2022 · The measure of an exterior angle in degrees of a regular polygon of n sides is given by the formula: 360/n. If the interior angle is 11 times the exterior angle, then: 180 (n-2)/n = 11 x 360/n. then: 180 n - 360 = 11 x 360, or. 180 n = 12 x 360. that its solution gives n = 24. Accordingly, the answer is that the number of sides of this polygon ... If an interior angle of a regular polygon measures 144 degrees how many sides does it have ? Geometry. 1 Answer Mahek ☮ Mar 16, 2018 #color(magenta)(=10 # sides. Explanation: To find the no. of sides, we first need to find the measurement of the exterior angle. Exterior angle ...Sum of Angles of a Polygon. , how many sides does this polygon have? Click here:point_up_2:to get an answer to your question :writing_hand:how many sides does a regular polygon has if each of its interior angle is.Polygon definition. A polygon is a plane figure that closes in a space using only line segments. If it must use only line segments and must close in a space, the polygon with the fewest sides has to be the triangle (three sides and interior angles). Polygon; the word means "many angles," but it ignores one attribute: straight sides.3 Oct 2011 ... So if we know that a pentagon adds up to 540 degrees, we can figure out how many degrees any sided polygon adds up to. Hexagon has 6, so we take ...A polygon has the same number of interior angles as it does sides. Figure \(\PageIndex{1}\) The sum of the interior angles in a polygon depends on the number of …Question 258119: If each angle of a regular polygon has measure 160, how many sides does the polygon have? ... (Show Source):. You can put this solution on YOUR ...What is an interior angle of a regular polygon having 90 diagonals showing key stages of work? It must have 15 sides to comply with the formula:- 0.5*(152-(3*15)) = 90 diagonals So: 360/15 = 24 degrees and 180-24 = 156 degrees Therefore: each interior angle measures 156 degreesHow many sides does the polygon have? A. $$5$$ Open in App. Solution. Verified by Toppr. Correct option is A. $$5$$ Given, each side of a rectangular polygon is $$2.5$$ cm. Also give the perimeter of the polygon is $$12.5$$ cm. Then number of sides of the polygon $$=\dfrac{12.5}{2.5}=5$$.Best Answer. Copy. 48 sides. A formula for finding the number of sides of a regular polygon given an interior angle: 360/ (180-angle)=sides. Wiki User.3 May 2021 ... the number of sides of a regular polygon given the exterior angle. To do this divide 360 by the number of sides. If you have the interior ...Answer: D. 12. Step-by-step explanation: Since it is a regular polygon, all of its interior angles are equivalent. Now, we know that for regular polygons, if we divide the exterior angle measure into 360, we get the number of sides, which means we have a …5 Feb 2022 ... VIII-Exercise 3.2 Q.4 How many sides does a regular polygon has if each of its interior angle is165. KEY 4 LEARNING + AXIOM COACHING CLASS ...Diagonals of a polygon are the lines that connect the alternate vertices of the polygon. A polygon of n sides has n(n-3)/2 diagonals. A polygon is a closed figure with n sides (where n is always greater than equal to 3). ... Sample Problems on Diagonals of a Polygon. Problem 1: How many diagonals does a hexagon have, find using the …Question 258119: If each angle of a regular polygon has measure 160, how many sides does the polygon have? ... (Show Source):. You can put this solution on YOUR ...A pentagon has 5 sides, and can be made from three triangles, so you know what ..... its interior angles add up to 3 × 180° = 540° And when it is regular (all angles the same), then each angle is 540° / 5 = 108° (Exercise: make sure each triangle here adds up to 180°, and check that the pentagon's interior angles add up to 540°) Jun 12, 2016 · Since the figure with angles measuring #0˚# is 1 lines, then the figure with interior angles of #720˚# has #1 + 5 = 6# sides. Practice exercises: The interior angles of a polygon add up to #3960˚#. How many sides does this polygon have? Hopefully this helps, and good luck! What is the number of sides a regular polygon has if one interior angle measures 170? The regular polygon number of sides 'n' has angles = (n-2)X180/n So, 170=(n-2)X180/n 170n=180n-360 10n=360 n=36. Hence, the polygon has 36 sides.It's possible to figure out how many sides a polygon has based on how many degrees are in its exterior or interior angles. Problem 11 If each exterior angle measures 10°, how many sides does this polygon have? The sum of the interior angles of a polygon is (n-2) 180, where n is the number of sides. In a regular polygon, each of those angles is equal, so each interior angle has a value of: (n-2)180/n. We are given the interior angle is 135, so we can use the above formula to solve for n. 135 = (n-2)180/n. 135n = 180n - 360-45n = -360. n = 8The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.Dec 30, 2022 · How many sides does a regular polygon have if each exterior angle measures 30? a 15 sides b 12 sides c 14 sides d 11 sides. star. 5/5. heart. 10. verified. Verified ... 25 Oct 2017 ... Therefore, this polygon has 36 sides. TheXSquaredFactor Oct 25, 2017. 1 ...25 Oct 2016 ... If the exterior angle is 18° there are 20 sides. It is impossible for a regular polygon to have interior angles of 18°.A regular convex polygon with an exterior angle measure of 20° has 18 sides. Explanation: When a regular convex polygon has an exterior angle measure of 20°, we can use the formula 360° divided by the exterior angle to find the number of sides. In this case, 360° divided by 20° equals 18. Therefore, the polygon has 18 sides.The sum of the interior angles of a polygon is (n-2) 180, where n is the number of sides. In a regular polygon, each of those angles is equal, so each interior angle has a value of: (n-2)180/n. We are given the interior angle is 135, so we can use the above formula to solve for n. 135 = (n-2)180/n. 135n = 180n - 360-45n = -360. n = 8How many sides does the polygon have? A. $$5$$ Open in App. Solution. Verified by Toppr. Correct option is A. $$5$$ Given, each side of a rectangular polygon is $$2.5$$ cm. Also give the perimeter of the polygon is $$12.5$$ cm. Then number of sides of the polygon $$=\dfrac{12.5}{2.5}=5$$.A regular polygon of n sides has an exterior angle whose measure is 12 degrees larger than the measure of the exterior angle of the regular polygon with n 1 sides. Find n and name the type of polygon that has n sides. arrow_forward. The perimeter of an isosceles triangle is 32cm. If the length of the altitude drawn to the base is 8cm, how long ...Jun 3, 2018 · Explanation: The sum of the interior angles of a regular polygon is given by: Where n is the number of sides. We are given 150∘ for each angles. So, The polygon has 12 sides. color (blue) (12) The sum of the interior angles of a regular polygon is given by: 180^@n-360 Where bbn is the number of sides. Lets call the sum S Then: 180^@n-360=S ... Sum of the interior angles of a polygon with n sides = (n – 2) × 180° For example: Consider the following polygon with 6 sides. Here, ∠a + ∠b + ∠c + ∠d + ∠e + ∠f = (6 – 2) × 180° = 720° (n = 6 as given polygon has 6 …Regular polygon has 50 sides. As each interior angle is 172.8^@, each exterior angle is 180^@-172.8^@=7.2^@ But as sum of exterior angles is always 360^@ there are 360/7.2=50 angles Hence, regular polygon has 50 sides.Consider a triangle, a polygon with three sides. The sum of the interior angle measures is #180˚#. Consider any quadrilateral, a polygon with four sides. The sum of the interior angles measures #360˚#. We can therefore deduce that for each polygon with an additional side has #180˚# more than the previous figure. This forms an arithmetic series.Answer – A regular polygon with each interior angle measuring 165° has 24 sides. Let’s assume that the number of sides of the given regular polygon is n. Then, the number of interior angles = the number of sides = n. Further, the sum of the interior angles = the measure of each interior angle the number of sides. We also know that the sum ...It is known that the measure of each interior angle is 165 °. Then, each exterior angle = 180 ° - 165 ° [ ∵ exterior angle = 180 ° - interior angle] ∵ (number of sides) × (the measure of each exterior angle) = 360 ° [Using exterior angle property of polygons] Therefore, a polygon with interior angles 165 ° has 24 sides.The correct option is D12Each interior angle of the polygon= 150∘Each exterior angle of the polygon(180∘−150∘)= 30∘∴ Number of sides of this polygon = 360° 30° = 12Hence, Number of sides = 12. Suggest Corrections. 147.Oct 25, 2016 · If you know the number of sides (n) you can find the size of each exterior angle of a regular polygon. 360 ÷ n = θ. Interior angle 168° → exterior angle = 180° −168° = 12°. 360 ÷ 12° = 30 sides. Answer link. 360 div 12° = 30 sides The only number that stays the same for the angles of all polygons is that the sum of the exterior ... If a regular polygon has magnitude of symmetry 15 degrees. Then the polygon has 24 sides. The magnitude of symmetry of a regular polygon refers to the smallest angle of rotation by which the polygon can be rotated and still appear unchanged. In other words, it is the smallest angle by which the polygon can be rotated to coincide with its ... A convex polygon has 44 diagonals. Hwo many sides does it have? ... Question 13 A polygon has prime number of sides. Its number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is a) 4 b) 5 c) 7 d) 10. View Solution. Q5. A convex polygon has 44 diagonals , find no of sides.Nov 20, 2023 · Cite Table of contents: What is a polygon? Polygon definition How many sides does a polygon have? Names of polygon shapes Regular polygon formulas: sides, area, perimeter, angles How to use this polygon calculator - an example With this polygon calculator, you can find the essential properties of any n-sided regular polygon. 360o 72o = 5. The Regular Polygon with Exterior Angles of 72o is a Pentagon. Answer link. See a solution process below: The Exterior Angles of a Regular Polygon always add up to 360°: Therefore, we can divide 360^o by 72^o to find the number of sides: 360^o/72^o = 5 The Regular Polygon with Exterior Angles of 72^o is a Pentagon.Verified by Toppr. Number of diagonals in any n sided polygon is = Total Number of Lines connected two points − Total number of sides of polygon. So we have n points so total number of lines is =n C2, because we have to choose two points from n points. Total number of sides = n. So Number of diagonals = n(n−1) 2 −n. Number of diagonals ... Jun 12, 2016 · Since the figure with angles measuring #0˚# is 1 lines, then the figure with interior angles of #720˚# has #1 + 5 = 6# sides. Practice exercises: The interior angles of a polygon add up to #3960˚#. How many sides does this polygon have? Hopefully this helps, and good luck! Dec 30, 2022 · How many sides does a regular polygon have if each exterior angle measures 30? a 15 sides b 12 sides c 14 sides d 11 sides. star. 5/5. heart. 10. verified. Verified ... Question 258119: If each angle of a regular polygon has measure 160, how many sides does the polygon have? ... (Show Source):. You can put this solution on YOUR ...27 Sept 2017 ... Question From- Ncert Maths Class 8 Chapter 3.2 Example Question - 4 Linear Equations In One Variable Cbse Rbse Up Mp Bihar Board ...25 Oct 2016 ... If the exterior angle is 18° there are 20 sides. It is impossible for a regular polygon to have interior angles of 18°.Th measure of an interior angle (a) of a regular polygon of n sides is given by: Set this equal to 170 and solve for n. Multiply both sides by n. Simplify the right side. Subtract 170n from both sides. Add 360 to both sides. Finally, divide both sides by 10. The regular polygon has 36 sides.Answer: We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180 (n-2)/n, where n is the number of sides of the polygon. Explanation: …Answer – A regular polygon with each interior angle measuring 165° has 24 sides. Let’s assume that the number of sides of the given regular polygon is n. Then, the number of interior angles = the number of sides = n. Further, the sum of the interior angles = the measure of each interior angle the number of sides. We also know that the sum ...Shop dr. scholl's time off sneaker, Costco smart tvs, Nbc12 virginia, Best bryson 800 loadout mw2, Leprochaun clip art, Scp teddy bear, Crime scene photos of jodi arias case, Floyd mortuary, Elixrx, Nikki s. lee and husband, Www.michigan.gov.uia, Tufts academic calendar, Masterchef usa 6, Harbor freight bismarck nd
A polygon of n sides has n vertices. By joining any two vertices of a polygon, we obtain either a side or a diagonal of the polygon. Number of line segments obtained by joining the vertices of a n sided polygon taken two at a time. = Number of ways of selecting 2 out of n. =n C2 = n(n−1) 2. Out of these lines, n lines are the sides of the .... Total wine tampa
like yesterday nytHow many sides does a convex polygon have if each interior angle is equal to 179 degrees? 179 * n = 180(n-2) 179n=180n-360 -n=-360 n=360 360 sides. How many sides would a polygon have whose interior angles are exactly 179 degrees? Interior angles of any polygon with n sides always add up to 180(n-2) degrees. If a polygon is a …How many sides does a polygon with 65 diagonals have? Therefore polygon of 13 sides have 65 diagonals. How many sides do hexagons have? six In geometry, a hexagon (from Greek ἕξ, hex, meaning “six”, and γωνία, gonía, meaning “corner, angle”) is a six-sided polygon or 6-gon.Apr 28, 2022 · If the measure of one interior angle of a regular polygon is 90 degrees how many sides does the polygon have? The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons. By joining any two vertices of a polygon, we obtain either a side or a diagonal of the polygon. Number of line segments obtained by joining the vertices of an n sided polygon taken two at a time. Out of these lines, n lines are the sides of the polygon. Therefore, Number of diagonals of the polygon = n ( n − 1) 2 − n = n ( n − 3) 2.Dec 19, 2015 · If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? 360/60 = 6 " sides" The sum of the exterior angles of any Polygon is 360°. If it is a regular polygon you can find the size of an exterior angle by dividing 360° by the number of sides. If you know the size of the exterior angle, just do the opposite. Divide 360° by the size of the exterior angle to find the number of sides. Ext angle = 360/n …The formula for the no. of diagonals of a ’n' sided polygon is n (n-3)/2 . It works for triangle (0 diagonals) , quadrilateral (2 diagonals) , pentagon (5 diagonals) and for every another polygon. Let's come to the problem. No. Of diagonals = n (n-3)/2 = 27. The polygon has 9 sides. It is a Nonagon.Tick ( ) the correct answer: The interior angle of a regular polygon exceeds its exterior angle by 108°. How many sides does the polygon have? How many sides does the polygon have? (a) 16 (b) 14 (c) 12 (d) 10In a regular polygon, the line segments that make up the polygon have the same length and the interior angles are of equal measure. The measure of the interior angle of a regular polygon with n number of sides is given by: I n t e r i o r A n g l e = ( n − 2) 180 ∘ n.In any polygon a pair of sides that are inclined to each other meet at a point. This point is called a vertex of the polygon. In the polygon there are as many vertices as there are sides. The triangle has 3 sides and 3 vertices.It has five sides and five angles, all of which are the same length or size. The shape on the right is an irregular pentagon. Each side is a different length. Each angle is a different …A polygon has 27 diagonals. Find the number of sides. 1)A polygon has 27 diagonals. How many sides does it have? A polygon has 35 diagonals. The number of sides of polygon is. A convex polygon has 44 diagonals. Find the number of sides of polygon. A polygon has 35 diagonals.65. The equation to figure the number of diagonal lines for any polygon is n (n-3)/2. n= number of vertices. It will have 13 sides because 0.5* (132-39) = 65 diagonals.Apr 28, 2022 · A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the ... Regular polygon has 50 sides. As each interior angle is 172.8^@, each exterior angle is 180^@-172.8^@=7.2^@ But as sum of exterior angles is always 360^@ there are 360/7.2=50 angles Hence, regular polygon has 50 sides.How many sides does a regular polygon have if the measures of each exterior angle equals 12 degrees? The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees). Related questions.Dec 13, 2016 · 18 sides A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°. For a regular polygon, the size of each exterior angle, theta can be found from: theta = (360°)/n" "larr where n = number of sides Using this property, if you know the size of the exterior angle, you can find the number of sides. n = (360°)/(20°) =18 ... Answer: We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180 (n-2)/n, where n is the number of sides of the polygon. Explanation: …It's possible to figure out how many sides a polygon has based on how many degrees are in its exterior or interior angles. Problem 11 If each exterior angle measures 10°, how many sides does this polygon have? 18 Jun 2014 ... Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines.Dec 13, 2016 · 18 sides A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°. For a regular polygon, the size of each exterior angle, theta can be found from: theta = (360°)/n" "larr where n = number of sides Using this property, if you know the size of the exterior angle, you can find the number of sides. n = (360°)/(20°) =18 ... The number of sides that a regular polygon with an interior angle of 120 degrees has is: 6 sides.. How to Find the Number of Sides of a Regular Polygon. If we know the size of one interior angle of a regular polygon, we can find the number of sides of the polygon.; Use the formula: interior angle = [(n - 2)180]/n Let's assume the given …Measure of each interior angle = 165°. Measure of each exterior angle = 180° - 165° = 15° [Since, an interior and an exterior angle forms a linear pair] Number of sides = Sum of exterior angles / Each exterior angle. = 360° / 15. = 24. Hence, the regular polygon has 24 sides. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 3.A polygon has the same number of interior angles as it does sides. Figure \(\PageIndex{1}\) The sum of the interior angles in a polygon depends on the number of …The correct option is D12Each interior angle of the polygon= 150∘Each exterior angle of the polygon(180∘−150∘)= 30∘∴ Number of sides of this polygon = 360° 30° = 12Hence, Number of sides = 12. Suggest Corrections. 147.You can put this solution on YOUR website! the sum of the interior angles is 2700 degrees. the sum of the interior angles of a polygon is given by the equation: s = (n-2)*180 where: s = the sum of the interior angles. n = the number of sides of the polygon. given that s = 2700, this equation becomes: 2700 = (n-2)*180.The key is to recognise that the paper’s edge forms a quadrilateral with the shown part of the polygon. Since the two angles that aren’t part of the polygon add up to 80 o , and a quadrilateral’s angles add up to 360 o , you can conclude that the polygon angles add up to 280 o , and therefore each angle in the polygon is 140 o .A polygon has 90 diagonals. How many sides does it have? (A) 12 (B) 13 (C) 14 (D) 15 (E) 16 Self madeDiagonals of a polygon are the lines that connect the alternate vertices of the polygon. A polygon of n sides has n(n-3)/2 diagonals. A polygon is a closed figure with n sides (where n is always greater than equal to 3). ... Sample Problems on Diagonals of a Polygon. Problem 1: How many diagonals does a hexagon have, find using the …The Greeks invented the word "polygon" probably used by the Greeks well before Euclid wrote one of the primary books on geometry around 300 B.C. "polygon" has been used in English since around 1560 The word comes from two parts: "poly-" = many "-gon" = angle (or knee) The next lesson in:Polygons 2 (Interior and Exterior)is:Find missing angles when two or more polygons are joined. Subjects Schedule. In this lesson, we will find the number of sides of a polygon when given only the sum of interior angles.How many sides does the polygon have? The polygon has sides. loading. See answers. loading. Ask AI. loading. report flag outlined. loading. bell outlined. Log in to add comment. Advertisement. Answer. 6 people found it helpful. Umbreon33. Umbreon33. Ace. 389 answers. 116.8K people helped. report flag outlined. Answer: The polygon has …Nov 30, 2015 · How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles ... Nov 20, 2023An apeirogon can be defined as a partition of the Euclidean line into infinitely many equal-length segments. In geometry, an apeirogon (from Ancient Greek ἄπειρος apeiros 'infinite, boundless', and γωνία gonia 'angle') or infinite polygon is a polygon with an infinite number of sides. Apeirogons are the two-dimensional case of ...Jun 26, 2019Get free real-time information on CHF/MATIC quotes including CHF/MATIC live chart. Indices Commodities Currencies StocksThe number of sides of a regular polygon can be calculated by using the interior and exterior angles, which are, respectively, the inside and outside angles created by the connecting sides of the polygon. For …12 May 2017 ... This is a video about How Many Sides Does A Polygon Have Subscribe for more video ▷▷ http://bit.ly/2Mjf4tw #NEW VIDEO# ...Find a formula that relates the sides of a polygon to the total diagonals that it has. eg: 3 sided polygon, 0 diagonals, 4 sided, 2 diagonals, 5 sided, 5 diagonals, 6 sided, 9 diagonals, 7 sided, 14 diagonals, 8 sided, 20 diagonal, etc.Nov 20, 2023A regular polygon has interior angles of 144 degrees. How many sides does the polygon have? 0 . 999 . 2 . A regular polygon has interior angles of 144 degrees. How many sides does the polygon have?18 May 2018 ... How many sides does polygon P have? (1) All sides of P have equal lengths. (2) The sum of the measures of the interior angles of P is ...Answer: We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180 (n-2)/n, where n is the number of sides of the polygon. Explanation: …18 Jun 2014 ... Comments172 · How to determine the number of sides of a regular polygon, given one interior angle · Interior and Exterior angles of polygons · ...The polygon has 20 sides. So, n = 20. Sum of the exterior angles of polygons = 360° So, each exterior angle = 360°n = 360°20 = 18° Example 4: The sum of the interior angles of a polygon is 1620°. How many sides does it have? Solution: Sum of the interior angles of a polygon with n sides = (n – 2) × 180° 1620° = (n – 2) × 180° n ...Apr 28, 2022 · How many sides would a polygon have whose interior angles are exactly 179 degrees? Interior angles of any polygon with n sides always add up to 180(n-2) degrees. If a polygon is a regular polygon with n sides, and each interior angle is 179 degrees, then its interior angles will add up to 179 n. Mar 16, 2018 · If an interior angle of a regular polygon measures 144 degrees how many sides does it have ? Geometry. 1 Answer Mahek ☮ Mar 16, 2018 #color ... How many sides does the polygon have? A. $$5$$ Open in App. Solution. Verified by Toppr. Correct option is A. $$5$$ Given, each side of a rectangular polygon is $$2.5$$ cm. Also give the perimeter of the polygon is $$12.5$$ cm. Then number of sides of the polygon $$=\dfrac{12.5}{2.5}=5$$.An Equilateral Triangle (3 sides) has 3 Lines of Symmetry. A Square (4 sides) has 4 Lines of Symmetry. A Regular Pentagon (5 sides) has 5 Lines of Symmetry. A Regular Hexagon (6 sides) has 6 Lines of Symmetry. A Regular Heptagon (7 sides)If a polygon is a regular polygon with n sides, and each interior angle is 179 degrees, then its interior angles will add up to 179 n. In both cases, you must get the same result for what the interior angles add up to. So: 179n = 180 (n-2). Multiply out the 180. -n = -360, so therefore n = 360 and it would have 360 sides.If a regular polygon has exterior angles that measure 36° each, how many sides does the polygon have? Geometry. 1 Answer Cesareo R. Aug 26, 2016 #n = 10# ... . 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