find the number of side of a regular polygon, if each of its interior angle is 162 degree.
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228
(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
180n-360 = 162°n
180n-162n=360
18n = 360
n = 360/18
(n = 20) ans
Answered by
78
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.
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