A polygon can have any number of sides that is three or greater. The number of sides determines the type of polygon; for example, a triangle has three sides, a …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.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, …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 · 2:15.3 Jan 2017 ... polygon: https://www.youtube.com/watch?v=GwR-a_AbCzk&index=4&list=PLJ-ma5dJyAqqalHHGSXIWntL6VUBkony4 Sum of exterior angle of polygons is ...Regular polygon. 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. 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.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. 12 sides. By the Exterior Angle Formula, the sum of the exterior angles in any polygon is 360°. Since the polygon is regular, all the angles are congruent. This is very important: if the polygon was not regular, the exterior angles could be 30°, 170°, and 160°! Anyway, we can name the number of sides s and the number of angles a. Because …A polygon is a closed 2-D shape that is made up of three or more straight lines. A polygon has at least three sides. Each side of the line segment intersects with another line …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. 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 ... 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.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'.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.How many sides does a polygon have when the sum of the measure of its interior angles is 900? The formula for the sum of the measures of the interior angles of a regular polygon is (n-2)180. Set this equal to 900 and solve for n to find the number of sides in the polygon. 900 = 180(n-2) 900 = 180n - 360 180n = 1260 n = 1260/180 n = 7 ...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 …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.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 angJan 12, 2020 · Geometry Help Please. 0. 2428. 3. The number of diagonals in a certain regular polygon is equal to four times the number of sides. How many sides does this polygon have? There was a question similar to this except it was 5 times the number of sides, please help me. Thanks! 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 ... 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 …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.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 ...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)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 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.Apr 11, 2017 · If the sum of the measures of the interior angles of a polygon is 5400°, how many sides does it have? Geometry. 1 Answer CW ... Hence, the polygon has 32 sides. 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 …A polygon is a 2D shape with straight sides. To be a regular polygon all the sides and angles must be the same: Triangle - 3 Sides. Square - 4 Sides. Pentagon - 5 Sides. Hexagon - 6 sides. Heptagon - 7 Sides. Octagon - 8 Sides. Nonagon - 9 Sides. 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 ...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 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.Jun 15, 2022 · The sum of the interior angles of a polygon is \(4320^{\circ}\). How many sides does the polygon have? The sum of the interior angles of a polygon is \(3240^{\circ}\). How many sides does the polygon have? What is the measure of each angle in a regular 16-gon? What is the measure of each angle in an equiangular 24-gon? How many sides does polygon has? A) 10. b) 8. c) 9. d) 13 . Open in App. Solution. Sum of exterior and interior angles is 180 deg. If the interior angle is 3x, the exterior angle is x. Hence 3x+x = 4x = 180 or x = 45. The interior angle is 135 deg. So the polygon has 360/45 = 8 sides or it is a regular octagonif you mean the sum of the interior angles, then it is 8640. the formula you use to find the sum of the interior angles of a polygon is (n-2)180, n being the number of sides. in this problem, you would plug in 50 for n, so 50-2=48, and 48x180=8640.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 …Nov 10, 2023 · 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 equation ... Apr 28, 2022 · A 3-sided polygon has 0 parallel sides. A 4-sided polygon can have 0, 2 or 4 parallel sides. A 5-sided polygon can have 0, 2, 3 or 4 parallel sides. In general, an n-sided polygon can have 0, 2, 3, ..., n-1, or n parallel sides where n>5. A polygon with n sides can have n pairs of parallel sides (if n is even) or (n-1)/2 pairs if n is odd AND greater than 3. But it need not have any. 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 ...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.Nov 30, 2015 · How many sides does the polygon have? Geometry. 2 Answers George C. Nov 30, 2015 #12# Explanation: The exterior angles ... How many sides does a polygon have when the sum of the measure of its interior angles is 900? The formula for the sum of the measures of the interior angles of a regular polygon is (n-2)180. Set this equal to 900 and solve for n to find the number of sides in the polygon. 900 = 180(n-2) 900 = 180n - 360 180n = 1260 n = 1260/180 n = 7 ...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 ...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 pentagon is any polygon that has five sides and five angles. The root of the word pentagon is “penta” which comes from the Greek word for five. “Gon” comes from the Greek word for angle. So, if you put the two words together, you get “five angles,” which corresponds to how many angles are in the shape. As I just mentioned, in ... 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) 10Apr 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. Apr 11, 2017 · If the sum of the measures of the interior angles of a polygon is 5400°, how many sides does it have? Geometry. 1 Answer CW ... Hence, the polygon has 32 sides. 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.28 Jun 2020 ... "How many sides has a regular polygon, each angle of which is of measure `108^0` ?" 3.2K views · 3 years ago ...more ...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 a regular polygon have if each of its interior angle is 165 ∘? Q. If each interior angle of a regular polygon is 150 ∘ , how many sides does this polygon have?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. 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 ...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!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 ... regular polygon is a polygon whose sides are congruent (equal). The ... How many sides does a regular polygon have if given one interior angle.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 ... 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...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.23 Jan 2023 ... If the polygon has n sides, the sum of its interior angles is 180*(n - 2) degrees. 180*(n - 2) = 7560 (n - 2) = 7560/180 = 42 n = 42 + 2 ...23 Jan 2023 ... If the polygon has n sides, the sum of its interior angles is 180*(n - 2) degrees. 180*(n - 2) = 7560 (n - 2) = 7560/180 = 42 n = 42 + 2 ...If 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 ...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 ...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 ...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 ...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? 28 Jun 2020 ... "How many sides has a regular polygon, each angle of which is of measure `108^0` ?" 3.2K views · 3 years ago ...more ...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. 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# ...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 ) = 1260A 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)if you mean the sum of the interior angles, then it is 8640. the formula you use to find the sum of the interior angles of a polygon is (n-2)180, n being the number of sides. in this problem, you would plug in 50 for n, so 50-2=48, and 48x180=8640.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 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 …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 ... A polygon can have any number of sides that is three or greater. The number of sides determines the type of polygon; for example, a triangle has three sides, a …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 degreesOct 23, 2017 · 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 the formula to calculate the sum of the interior angles of a polygon: n = 180(n - 2), where . n. is the number of sides. . 18 Jun 2014 ... regular polygon is a polygon whose sideIt is known that the measure of each interior angle is 165 ° 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 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. File previews. pdf, 231.73 KB. Exam questions love t Let us find the number of sides a regular polygon with an interior angle of 108°. ⇒ 180(n−2)/n = 108° ⇒ 180n − 360 = 108n. ⇒ 72n = 360. ⇒ n = 5. So, a regular polygon with an interior angle of 108° would have 5 sides. Hence, we can use the formula of interior angle of a polygon to find the number of sides of a polygon. interior ... A convex polygon has 44 diagonals. Hwo many side...
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