2. Find the measure of each exterior angle of a regular polygon of
    (i) 9 sides

Answers (1)

A regular polygon of 9 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 9 sided polygon = 9 \ast A = 360\degree

Exterior angles of 9 sided polygon= A= 360\degree \div 9  

                                                            A= 40\degree

Hence, measure of each exterior angle of a regular polygon of 9 sides is 40\degree

 

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