Question

Find the measure of each exterior angle of a regular polygon of $9$ sides.

Answer 1

Solve for the value of each exterior angle of a regular polygon of $9$ sides

Given, the number of sides, $n=9$.

It is known that the sum of all exterior angles of a polygon is $360°$.

As the given polygon is regular, so the value of each exterior angle can be given by $\left(\frac{360°}{n}\right)=\left(\frac{360°}{9}\right)=40°$.

Therefore, the value of each exterior angle of a regular polygon of $9$ sides is $40°$.