Question

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

• A. ${45}^{\circ }$
• B. ${90}^{\circ }$
• C. ${135}^{\circ }$
• D. ${105}^{\circ }$

Answer 1

The correct option is A

${45}^{\circ }$

Sum of the exterior angles of a polygon (irrespective of the number of sides) is ${360}^{\circ }$.
In the case of a regular octagon, the measure of all exterior angles will be equal.
So, measure of each exterior angle = $\frac{{360}^{\circ }}{8}={45}^{\circ }$.