Question

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

(i) 9 sides

(ii) 15 sides

Answer 1

(i) Sum of all exterior angles of the given polygon = 360º Each exterior angle of a regular polygon has the same measure. Thus, measure of each exterior angle of a regular polygon of 9 sides 

= 360°/9 = 40°

(ii) Sum of all exterior angles of the given polygon = 360º Each exterior angle of a regular polygon has the same measure. Thus, measure of each exterior angle of a regular polygon of 15 sides

= 360°/15 = 24°