# 2. Find the measure of each exterior angle of a regular polygon of     (ii) 15 sides

S seema garhwal

A regular polygon of 15 sides have all sides,interior angles and exterior angles equal.

Sum of exterior angles of a polygon = $360\degree$

Let interior angle be A.

Sum of exterior angles of 15 sided polygon = $15 \ast A =$ $360\degree$

Exterior angles of 15 sided polygon$= A= 360\degree \div 15$

$A= 24\degree$

Hence, measure of each exterior angle of a regular polygon of 15 sides is $24\degree$

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