Question

What is the measure of any exterior angle of a regular nonagon?

• A. ${100}^{\circ }$
• B. ${140}^{\circ }$
• C. ${40}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is C

${40}^{\circ }$

Sum of the exterior angles of a polygon (irrespective of the number of sides) is ${360}^{\circ }$.

In a nonagon, the measure of all exterior angles will be the same i.e. ${360}^{\circ }$.

Also, nonagon has 9 sides.

So, measure of each exterior angle
= $\frac{{360}^{\circ }}{9}={40}^{\circ }$