How many sides does polygon has - 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)

 
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 …. 2560x1440 backgrounds

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 ... 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 ...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 …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 …The sides of a regular polygon are the line segments that make it up. Try this Adjust the regular polygon below by dragging any orange dot, or alter the number of sides. The length of the sides will change. The formulas below give the length of the side of regular polygon given the number of sides and either the radius or apothem.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! Best Answer. Copy. You can find the number of diagonals in a polygon using the formula n (n-3)/2, where n is the number of sides. Therefore an 11 sided polygon has 44 diagonals. Wiki User. ∙ 9y ago.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...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. …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 $$=\dfrac{12.5}{2.5}=5$$.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.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.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 …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 ...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)The polygon will have 40 sides. The measure of the interior angles of a polygon is determined by the formula ((n - 2)180)/n = interior angle measure were n is the number of angles and sides of the polygon. We know that the interior angles of the polygon in the question have measures of 171^o ((n - 2)180)/n = 171^o ((n - 2)180) = …The number of sides is the same as the number of vertices. Answer link. 40 If the interior angle is 171^@ then the exterior angle is 180^@-171^@ = 9^@. The total of the exterior angles is 360^@, so the number of vertices must be 360^@/9^@ = 40. The number of sides is the same as the number of vertices.18 Jun 2014 ... regular polygon is a polygon whose sides are congruent (equal). The ... How many sides does a regular polygon have if given one interior angle.The sides of a regular polygon are the line segments that make it up. Try this Adjust the regular polygon below by dragging any orange dot, or alter the number of sides. The length of the sides will change. The formulas below give the length of the side of regular polygon given the number of sides and either the radius or apothem.We can have a 360-sided polygon with each side having an arc of 1 degree, but you can go smaller than 1 degree and argue that you can go with 0.000001 degree and have the corresponding number of sides. However, since there are an infinite number of fractions between two numbers, we can go infinitely many times and get n amount of sides based on ... 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 ...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)*180.18 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.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 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.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. 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 ... 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 "# ... How many sides does the polygon have if it has an interior angle which is 3 times the exterior angle? Providing that it is a regular polygon it will have 8 sides. If a regular polygon has an interior angle of 157.5 degrees how many sides does?Jan 31, 2023 · Download Article. 1. Define the formula. The formula to find the number of diagonals of a polygon is n (n-3)/2 where “n” equals the number of sides of the polygon. Using the distributive property this can be rewritten as (n 2 - 3n)/2. You may see it either way, both equations are identical. Jun 27, 2016 · A triangle with three sides is an illustration of a polygon. Given the sum of the interior angles of a polygon = 9360° so sum of the interior angles of a polygon = (n - 2) x 180° where n = number of sides (n - 2) x 180° = 9360° divide both sides by 180. n - 2 = 9360/180. n - 2 = 52. n = 52 + 2. n = 54. Hence there are 54 sides in the polygon. 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 ...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.Best Answer. Copy. The interior angles of any n-sided polygon always total (2n - 4) right angles or 180n - 360 degrees. In this instance (180n - 360)/n = 172 ie 180n - 360 = 172n which simplifies to 8n = 360 so there are 360/8 ie 45 sides to your polygon. Another method is based on the fact that the exterior angles are 360/n degrees.Answer: n n = 5 sides side length a = inradius r = circumradius R = area A = perimeter P = interior angle x = exterior angle y = Get a Widget for this Calculator © …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.Polygon has 12 sides - it is dodecagon. As the measure of the exterior angles of a regular polygon are 1/5 times the measure of its interior angles, each exterior angle of the regular polygon too will be 1/5 times the measure of its interior angle. Let the exterior angle be x and then interior angle would be 5x and as their sum is always …A certain polygon has three angles that measure 120 degrees and the rest of its angles measure 150 degrees. How many sides does the polygon have? That polygon has 9 sides ( 9-2) * 180 = 1260 ( 3 * 120 ) + ( 6 * 150 ) = 1260The 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.A polygon is a plane shape (two-dimensional) with straight sides. Examples include triangles, quadrilaterals, pentagons, hexagons and so on. Regular Here we look at Regular Polygons only. Properties So what can …30 Oct 2013 ... 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.Solution. The correct option is A 5. A diagonal is formed by joining opposite vertices. A polygon with 5 sides has 5 diagonals. Suggest Corrections. 7.A regular polygon has 150º as the size of each interior angle. How many sides does it have? A. 12 B. 10 C. 9 D. 8 Correct Answer: Option A Explanation. Sum of interior angles of a polygon = each interior ∠ x n (n-2)180 = 150 x n 180n - 360 = 150n 180n-150n = 360 30n = 360 n = 360/30 n = 12 sides.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. Regular heptagon. A regular heptagon, in which all sides and all angles are equal, has internal angles of 5π/7 radians (128 4 ⁄ 7 degrees).Its Schläfli symbol is {7}.. Area. The area (A) of a regular heptagon of side length a is given by: = ⁡. This can be seen by subdividing the unit-sided heptagon into seven triangular "pie slices" with vertices at the center and …We can have a 360-sided polygon with each side having an arc of 1 degree, but you can go smaller than 1 degree and argue that you can go with 0.000001 degree and have the corresponding number of sides. However, since there are an infinite number of fractions between two numbers, we can go infinitely many times and get n amount of sides based on ... 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. 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. Best Answer. Copy. The interior angles of any n-sided polygon always total (2n - 4) right angles or 180n - 360 degrees. In this instance (180n - 360)/n = 172 ie 180n - 360 = 172n which simplifies to 8n = 360 so there are 360/8 ie 45 sides to your polygon. Another method is based on the fact that the exterior angles are 360/n degrees.A certain polygon has three angles that measure 120 degrees and the rest of its angles measure 150 degrees. How many sides does the polygon have? That polygon has 9 sides ( 9-2) * 180 = 1260 ( 3 * 120 ) + ( 6 * 150 ) = 1260The polygon has 5 sides. Therefore, the total sides of the polygon is 5, the polygon with 5 sides is known as pentagon. Advertisement Advertisement 1Angel25 1Angel25 Ur question's solution is on the pic⏫⏫.. Advertisement Advertisement New questions in Math. 36. Beti bachao,Beti padhao is a personal compaign of Government …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 · ...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.Get free real-time information on CHF/MATIC quotes including CHF/MATIC live chart. Indices Commodities Currencies StocksNov 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. 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.28 Oct 2020 ... 2 Answers By Expert Tutors ... The total number of degrees of the interior angles is given by (n-1)*180. ... n = 23 Your polygon has 23 sides.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.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.Victoria V. sorry, Mark is right. It is n-2 that is multiplied by 180, this would change the answer to 22 = n-2, so n=24 and polygon has 24 sides.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 .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.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.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.Answer by jerryguo41 (197) ( Show Source ): You can put this solution on YOUR website! So to solve this, you have to know one of two conditions. 1)All Regular polygons exterior angles = 360 degrees. 2)Exterior angle is 180-interior angle. 3)Set equation for exterior angles. x=number is sides. 4)There are 360 in a regular polygon that has 179 ...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! 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 ...20 Jul 2023 ... Class 8 Maths I Chapter 3I Exercise 3.2 I Question 3 I Understanding Quadrilaterals I NCERT I CBSEI @brainosolutions.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 …The 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.Transcribed image text: Each exterior angle in a regular polygon has a measure of 18°. How many sides does the polygon have? CA. 10 O B. 18 C C. 20 С D. 36.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 ... 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 …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. 122.6 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?A pentagon is the name for a five-sided polygon. However, there are different types of five-sided polygons, such as irregular, regular, concave and convex pentagons. If, in a five-...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 …The sides of a regular polygon are the line segments that make it up. Try this Adjust the regular polygon below by dragging any orange dot, or alter the number of sides. The length of the sides will change. The formulas below give the length of the side of regular polygon given the number of sides and either the radius or apothem.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, …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.15 " sides" with regular polygons it is best to work with the exterior angles since the sum of exterior angles is 360^o one exterior angle =180-one interior angle :." one ext.< "=180-156=24^o no of sides =360/24=15sidesThe 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 ...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?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.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.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 = 8Mar 16, 2020 · 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. The polygon has 8 sides. Explanation: To find the number of sides in a polygon given the sum of the interior angle measures, we can use the formula: Sum of Interior Angle Measures = (n - 2) * 180° Where 'n' represents the number of sides in the polygon. In this case, we plug in the given value: 1080° = (n - 2) * 180° Simplifying the …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°. 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 ...

Web3 gaming firm Immutable and layer-2 blockchain Polygon partnered to accelerate development and adoption in the crypto gaming space. Web3 gaming firm Immutable and layer-2 blockc.... Best of me lyrics

how many sides does polygon has

How many diagonals are in a 14 sided polygon? The formula for finding the amount of diagonals in a polygon is n (n-3)/2. So 14 (14-3)/2 = 77 Diagonals.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.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. A regular polygon has n sides. Then the number of pairs of parallel sides of the polygon will be . IF n is odd, then none of the sides are parallel. If n is even, then the number of pair of ...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 …We can have a 360-sided polygon with each side having an arc of 1 degree, but you can go smaller than 1 degree and argue that you can go with 0.000001 degree and have the corresponding number of sides. However, since there are an infinite number of fractions between two numbers, we can go infinitely many times and get n amount of sides based on ... The 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 …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 …20 Jul 2023 ... Class 8 Maths I Chapter 3I Exercise 3.2 I Question 3 I Understanding Quadrilaterals I NCERT I CBSEI @brainosolutions.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.The perimeter of the polygon = 17.5 cm. Since we know that the perimeter is the sum of all the sides of a polygon. So, we need to divide the perimeter by the given side to get the number of sides of the given polygon. Complete step-by-step solution: As it is given that, the polygon is regular. Therefore, the length of each side of the polygon ...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 …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.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 ... .

Popular Topics