Question

question 6 of 27 what is the sum of the exterior angle measures for a regular pentagon? a. 540° b. 180° c. 360° d. 270°

Explanation:

Step1: Recall the exterior angle sum theorem

The exterior angle sum theorem for any convex polygon (including regular polygons) states that the sum of the exterior angle measures, one at each vertex, is always \( 360^\circ \), regardless of the number of sides the polygon has.

Step2: Apply the theorem to a regular pentagon

A regular pentagon is a convex polygon. So, by the exterior angle sum theorem, the sum of its exterior angle measures is \( 360^\circ \).

Answer:

C. 360°