Question

Find the measure of each exterior angle of a regular polygon of 

1. 9 sides 
2. 15 sides

Answer 1

(i) Sum of all exterior angles of the given polygon = \(360\degree\)
Each exterior angle of a regular polygon has the same measure.
Thus, measure of each exterior angle of a regular polygon of \(9\) sides
= \(\frac{360\degree}{9} = 40\degree\)

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(ii) Sum of all exterior angles of the given polygon = \(360 \degree\)
Each exterior angle of a regular polygon has the same measure.
Thus, measure of each exterior angle of a regular polygon of \(15\) sides
=\(\frac{360\degree}{15}=24\degree\)