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

Answers (1)

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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