How many sides does polygon has - How 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 …

 
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 ... . Popeye's louisiana kitchen

Regular star polygons can be created by connecting one vertex of a simple, regular, p-sided polygon to another, ... The {5/2} star pentagon is also known as a pentalpha or pentangle, and historically has been considered by many magical and religious cults to have occult significance. The {7/2} and {7/3} ...A polygon with seven sides is called a heptagon. A polygon is a closed geometric shape that has at least three sides and angles. Polygons consist of adjoining line segments and are...Nonagon, 9 sided polygon has nine 140 degree interior angles. triangles, 3 sided polygons have 180 degrees. rectangles, 4 sided polygons have 360 degrees. 5 or more sided polygons have greater than 360 degrees. there are no polygons with just 140 degrees. You might say 2 coinciding lines are a degenerate polygon with 2 sides and 0 …A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides). A minimum of three line segments is required to connect end to end, to make a closed figure. Thus a polygon with a minimum of three sides is known as Triangle and ... A circle is a regular polygon of infinite number of sides. Consider 10000 sides of a regular polygon. Each exterior angle will be 360/10000 = 0.036 deg. It may insignificant for viewing, nevertheless it is an angle. Watch on.Each exterior angle of a regular polygon measures 30 degrees How many sides does the polygon have? A regular polygon has equal angles and sides. Therefore, consider 0 degrees as a starting direction. At every corner, you turn 30 degrees to the left, until you end up back where you started. A full rotation is 360 degrees. Divide by 30, and …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.A triangle is a three-sided polygon, and a quadrilateral is a four-sided polygon. Quadrilaterals have several variations, such as parallelograms , trapezoids , …22 Sept 2016 ... 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 ...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 ...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 = 8If the sum of interior angles of a polygon is 1080°, then the polygon has ____ sides. View Solution. Q4. If each interior angle of a regular polygon is 150°, then the polygon has ___ sides. View Solution. Q5. How many sides does a regular polygon has if each of it's interior angle is 120 ...3 Jan 2017 ... polygon: https://www.youtube.com/watch?v=GwR-a_AbCzk&index=4&list=PLJ-ma5dJyAqqalHHGSXIWntL6VUBkony4 Sum of exterior angle of polygons is ...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.Best Answer. Copy. It could be three. It could be a triangle with angles of 174, 3 and 3 degrees. If it is a REGULAR polygon, though, there is a more specific answer. Interior angle = 174 deg implies exterior angle = 6 deg. Sum of ext angles = 360 deg so there must be 360/6 = 60 sides to the polygon. Wiki User.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 26, 2017 · If the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon have? Get the answers you need, now! if the sum of the interior angles of a regular polygon is 900 degrees, how many sides does the polygon - brainly.com 6 sides; Hexagon The formula to find the interior angle of a polygon is (180(n-2))/n (n being the number of sides of the polygon). Since we know the interior angle of the polygon which is 120, therefore we can produce this equation, (180(n-2))/n=120 From here we use algebra to solve n. 180n-360=120n 60n=360 n=6 therefore …Polygons are primarily classified by the number of sides. Convexity and intersection Polygons may be characterized by their convexity or type of non-convexity: Convex: any …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 ... 10. If an interior angle of a regular polygon measures 144 degrees, how many sides does it have? 24. If an exterior angle of a regular polygon measures 15 degrees, how many sides does it have? 146 degrees. If the measures of a heptagon are 127 degrees, 152 degrees, 112 degrees, 123 degrees, 135 degrees, and 105 degrees, what is the measure of ... 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 of sides = 360° / 36° = 10 sides. Hence, …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 ... 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 …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? Show Answer. Use formula to find a single exterior angle in reverse and solve for 'n'.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 …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# ...To find the number of sides of a polygon when the exterior angle is given, we use the formula: Measure of an exterior angle of a regular polygon = 360 ∘ n. where. n is the number of sides. Example: If each exterior angle of a polygon is 36, find the number of sides. 36 ∘ = 360 ∘ n.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# ...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 ... 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 ... Each exterior angle of a regular polygon measures 30 degrees How many sides does the polygon have? A regular polygon has equal angles and sides. Therefore, consider 0 degrees as a starting direction. At every corner, you turn 30 degrees to the left, until you end up back where you started. A full rotation is 360 degrees. Divide by 30, and …A 100-sided polygon is called a hectogon, centagon or 100-gon. In general, any n-sided polygon with over 12 sides is called an n-gon. While there are other conventions for naming p...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.We can learn a lot about regular polygons by breaking them into triangles like this: Notice that: the "base" of the triangle is one side of the polygon. the "height" of the triangle is the "Apothem" of the polygon. Now, the area of a triangle is half of the base times height, so: Area of one triangle = base × height / 2 = side × apothem / 2. 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.Dec 11, 2023 · Dodecagon: 12 Sides. Not to be confused with a decagon, a dodecagon has just two more sides for a total of 12. 12 sides and 12 angles make this shape unique from the others. As you can see, the name is very similar to "decagon" which has 10 sides. The "do" prefix just means add 2 to 10 which gives you 12. How many sides does a regular polygon have if the measure of an angle is 160? No regular polygon has 160. The "smallest" polygon is the triangle, which has 180o. ^^FALSE!!!!!!! this polygon has 18 sides!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°. Polygons are primarily classified by the number of sides. Convexity and intersection Polygons may be characterized by their convexity or type of non-convexity: Convex: any …A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides… Polygon Names. The names of polygons are derived from the ...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 ...Learn how to find the number of sides in a polygon in this free math video tutorial by Mario's Math Tutoring. We go through 2 examples: 1 with the sum of th...Oct 18, 2017 · We have that the sides of the polygon is mathematically given as. n=20. Option C. From the question we are told . A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have? 10 12 18 20. Arithmetic. Generally the equation for the Polygon exterior angle is mathematically given as. n ... See full list on mathsisfun.com Answer: 20 sides. Work Shown: E = exterior angle = 18 degrees. n = number of sides of a regular polygon. n = 360/E. n = 360/18. n = 20. This is a 20 sided regular polygon.It is considered a regular icosagon.Verified. Hint: We are given a regular polygon whose exterior angle is 15 degrees and we have to find the sides of the polygon. We know that the sum of the exterior angles of a polygon is \ [ { {360}^ {\circ }}\]. So, if we divide the total sum of the exterior angle of a polygon by the exterior angle, then, we will get the value of the number ...A polygon with 25 sides is called a icosikaipentagon. Polygon names are constructed according to the tens unit and the single digit unit. Names can be constructed for polygons with...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 ...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 …A polygon is a plane figure that has “at least three straight sides and angles,” according to Oxford Dictionaries. However, polygons can have more than three sides; most have five ...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 …Oct 18, 2017 · We have that the sides of the polygon is mathematically given as. n=20. Option C. From the question we are told . A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have? 10 12 18 20. Arithmetic. Generally the equation for the Polygon exterior angle is mathematically given as. n ... a polygon has 170 diagonals. how many sides does it have, a polygon has 27 diagonals how many sides does it have, a polygon has 54 diagonals how many sides, a polygon has 77 diagonals, a polygon has 77 diagonals determine the number of sides, a polygon has 90 diagonals how many triangles, a polygon of n sides has n(n-3)/2 diagonals, a polygon ... Learn how to find the number of sides in a polygon in this free math video tutorial by Mario's Math Tutoring. We go through 2 examples: 1 with the sum of th...Feb 28, 2018 · Anyway, we can name the number of sides s and the number of angles a. Because every polygon has the same number of sides and angles (because they are closed figures with non-intersecting lines), a=s. Since all the angles are congruent, 30a=360, and a=12. Since a=s, s=12, so the polygon has 12 sides. (This polygon has a short name: a dodecagon). 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.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 …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.An irregular polygon has one angle 126 degrees and the rest 162 degrees. how many sides are there in this irregular polygon? ... Therefore your polygon has 10 sides. Share. Cite. Follow answered May 3, 2018 at 2:48. Joseph Joseph. 1 $\endgroup$ 1. 1 $\begingroup$ might be good to justify why do you do those operations. $\endgroup$ – …22 Jun 2021 ... ∴ The regular polygon has 8 sides. Additional Information. 1) Regular Polygon: If all sides of any polygon are equal, the polygon is called a ...Final answer: If a regular polygon has interior angles each measuring 165 degrees, the polygon has 24 sides. This is calculated by using the formula to find the number of sides in a regular polygon, given the angle size. Explanation: To find out how many sides a regular polygon has, based on the size of its interior angles, you can use …In a polygon, there are 5 right angles and the remaining angles are equal to 1 9 5 ∘ each. Find the number of sides in the polygon. Find the number of sides in the polygon. MediumWe can learn a lot about regular polygons by breaking them into triangles like this: Notice that: the "base" of the triangle is one side of the polygon. the "height" of the triangle is the "Apothem" of the polygon. Now, the area of a triangle is half of the base times height, so: Area of one triangle = base × height / 2 = side × apothem / 2. A polygon of n sides has n (n − 3) 2 diagonals. If a polygon has 9 diagonals, find the number of sides of the polygon. If a polygon has 9 diagonals, find the number of sides of the polygon. View SolutionMar 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 ... 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 ... Apr 28, 2022 · Best Answer. Copy. It could be three. It could be a triangle with angles of 174, 3 and 3 degrees. If it is a REGULAR polygon, though, there is a more specific answer. Interior angle = 174 deg implies exterior angle = 6 deg. Sum of ext angles = 360 deg so there must be 360/6 = 60 sides to the polygon. Wiki User. 25 Jun 2022 ... |How many sides does a regular polygon have if each of its interior angle a 165°| #understandingquad. maths with aarna•3.6K views · 2:15.AboutTranscript. To find the interior angle sum of a polygon, we can use a formula: interior angle sum = (n - 2) x 180°, where n is the number of sides. For example, a pentagon has 5 sides, so its interior angle sum is (5 - 2) x 180° = 3 x 180° = 540°. Created by Sal Khan. 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! 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 n stands for the number of sides the polygon has. So, a pentagon has exterior angles that measure 360 / 5 = 72 degrees. The second angle is called the interior angle, which is the ...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.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 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.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?How Many Sides Does a Regular Polygon Have (With Examples) ... As we know, a polygon is any shape having three or more sides, a regular polygon can be made of any ...Verified. Hint: We are given a regular polygon whose exterior angle is 15 degrees and we have to find the sides of the polygon. We know that the sum of the exterior angles of a polygon is \ [ { {360}^ {\circ }}\]. So, if we divide the total sum of the exterior angle of a polygon by the exterior angle, then, we will get the value of the number ...Ex 3.2, 4 (Introduction) How many sides does a regular polygon have if each of its interior angles is 165°?Let there be a triangle ∆ ABC where ∠ A = 22° Let ∠ 1 be the exterior angle Since BAD is a line ∠ BAC + ∠1 = 180° ∠ 1 = 180° − 22° ∠ 1 = 158° So, in a polygon Interior angThe 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 …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 ...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 · ...How many sides has the polygon? Geometry Angles and Intersecting Lines Angles with Triangles and Polygons. 1 Answer Binayaka C. Dec 21, 2017 The polygon is Hexakaidecagon having #16# sides. Explanation: Exterior angle of regular polygon of #n# sides is #E=360/n# Interior angle ...23,984 We can observe different types of polygons in our daily existence and we might be using them knowingly or unknowingly. In this article, you will learn the meaning and definition of a polygon, types of a polygon, …

Number of diagonals of a convex polygon of n sides is (n(n-3))/2 Let there be a polygon ( I am assuming a convex polygon) of n sides. Let us consider its one vertex. This does not form a diagonal with itself as well as immediate two neighbouring vertices, hence it can for diagonals with remaining (n-3) vertices, (n-3) diagonals Hence …. Regal northwoods

how many sides does polygon has

Apr 28, 2022 · Best Answer. Copy. It could be three. It could be a triangle with angles of 174, 3 and 3 degrees. If it is a REGULAR polygon, though, there is a more specific answer. Interior angle = 174 deg implies exterior angle = 6 deg. Sum of ext angles = 360 deg so there must be 360/6 = 60 sides to the polygon. Wiki User. The first polygon has 1982 sides and second has 2973 sides. If the polygons have common vertices , the number of such vertices is \(\text{_____}.\) Submit your answer. Given the regular octagon of side length 10 with eight equilateral triangles inside, calculate the white area to 3 decimal places.The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side. Let 'n' be the number of sides of the polygon. Then the sum of the interior angles of the polygon is given as, Sum of angles = (n - 2) × 180° If the sum of the interior angle measures of a ... 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 degreesThe Polygon angle theorem states that the sum of all interior angles is equal 180(n-2), where n is the number of sides, which is also equal to the number of interior angles. Therefore, knowing the measure of of one interior angle (150 per problem definition), the sum of all interior angles could be written as 150n.A polygon with 14 sides can have at most 14 lines of symmetry. This would occur if the polygon was a regular polygon (i.e. all its sides would have to be equal and all its angles would have to be equal). The lines of symmetry would run between the midpoints of opposite sides and between opposite vertices.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 .The number of diagonals in any polygon is = n (n−3)/2. Given that this is equal to 27, we have that n (n−3)=2⋅27=54. , => n2−3n−54=0. Now you could just try values of n until you find one that works (shouldn’t take too long) or you could solve the quadratic equation if you know how to do that. n2−3n−54=0. 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 …A 100-sided polygon is called a hectogon, centagon or 100-gon. In general, any n-sided polygon with over 12 sides is called an n-gon. While there are other conventions for naming p...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 ...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.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.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..

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