Question

Select the correct answer.

A regular convex polygon has eight sides. What is the measure of an exterior angle?

A.
36°
B.
45°
C.
60°
D.
135°

Answer 1

45

Explanation:

Answer 2

Answer: B. 45°.

Step-by-step explanation: The sum of exterior angles in a polygon is 360°. Because this is a regular polygon with eight sides all of the interior angles are equal to 180°, and cause each interior angle is supplementary to the exterior angle at the vertex. The measure of each exterior angle is equal to 45°.

(n - 2) (180°) / n (8 - 2) (180°) / 8 (6) (180°) / 8 1080 / 8 135° 180° - 135° 45°