Question

if an interior angle of a regular polygon is 162 degree find the number of sides?

Answer 1

Interior angle+Exterior angle=180 
= 180-162=18

Each exterior angle= 18

Number of sides = 360/18= 20

Therefore number of sides = 20


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Answer 2

First find exterior angle by leniar pair (180-162=18)
The formula to find the sides of regular polygon is Exterior°/360 (because sum of exterior angles is always 360)
By putting formula
=18/360
=20 sides
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