Question

What is the measure of an exterior angle of a regular pentagon? Enter your answer in the box. °

Answer 1

Answer:

Measure of an exterior angle of a regular pentagon is 72°.

Step-by-step explanation:

Measure of an exterior angle of a regular polygon is calculated by

Exterior angle = $\frac{360}{\text{Number of sides of the polygon}}$

                       = $\frac{360}{n}$

If the regular polygon is a pentagon then measure of the exterior angle will be

= $\frac{360}{5}$

= 72°

Therefore, measure of an exterior angle of a regular pentagon is 72°.

Answer 2

72°

the sum of the exterior angles of a polygon = 360°

for a pentagon with 5 sides the

exterior angle = $\frac{360}{5}$ = 72°