Interior Angles Of Regular Polygons A Plus Topper The interior angle of a regular polygon is 135⁰. work out the number of sides of the polygon. solution : = (n 2) × 180 n 135n 180 = n 2 27n 36 = n 2 2 = n 3n 4 2 = 4n 3n 4 2 = n 4 n 4 = 2 n = 2 (4) n = so, the number of sides of the regular polygon is 8. problem 3 : the sum of the interior angles in a polygon is 7380⁰. calculate the. 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: 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.
Finding The Number Of Sides Of A Regular Polygon Given An Interiorо 👉 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. a regular polygon. Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. for example, if the measurement of the exterior angle is 60 degrees, then dividing 360 by 60 yields 6. 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. Freemathvideos in this video playlist i show you how to solve different math problems for algebra, geometry, algebra 2 and pre calculus. the. Let us discuss the three different formulas in detail. method 1: if “n” is the number of sides of a polygon, then the formula is given below: interior angles of a regular polygon = [180° (n) – 360°] n. method 2: if the exterior angle of a polygon is given, then the formula to find the interior angle is.
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