Question

find the number of side of a regular polygon, if each of its interior angle is 162 degree.

Answer 1

(n = no. of sides of the polygon) 180-360/n = 162°
180n-360 = 162°n
180n-162n=360
18n = 360
n = 360/18
(n = 20) ans

Answer 2

If you are given the measure of each interior angle (162 degrees) of a regular polygon. how many sides does the polygon have? If you look at a pentagon first where the interior angle is 108 deg then you see. The angle at the center is 180-162=18 deg and 360/18=20 so the polygon has 20 sides.