Question

Find the measure of each exterior angle of a regular polygon of
(i) $9$ sides (ii) $15$ sides

Answer 1

Sum of all exterior angles of given polygon $={360}^{\circ }$
(i) Measure of each ext angle $=\frac{360}{9}={40}^{\circ }$

(ii) Measure of each ext angle $=\frac{360}{15}={24}^{\circ }$