Question

Which of the following is the measure of an exterior angle of a 15-sided regular polygon?

A) 24
B) 12
C) 40
D) 36

Answer 1

A) 24

Explanation:

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

Answer 2

24 ˚

Explanation:

Exterior angle of a regular -sided polygon:

360 ˚/ n ⇒ 360 ˚/15 = 24 ˚