Question

Find the number of side of regular polygon whose each
Interior angle is a measure of 162°

Answer 1

Please answer this question

Answer 2

Sum of all the interior angles of any convex polygon of n sides is:

( 2 n - 4 ) ∙ 90°

Alsoo sum of n angles is n ∙ 162°


( 2 n - 4 ) ∙ 90° = n ∙ 162°

180° ∙ n - 360° = n ∙ 162°

Subtract n ∙ 162° to both sides

180° ∙ n - 162° ∙ n° - 360° = 0

18° ∙ n - 360° = 0

Add 360° to both sides

18° ∙ n = 360°

n = 360° / 18°

n = 20