Question

what is the sum of the measures of the exterior angles of a regular pentagon? if necessary, round to the nearest tenth.

Explanation:

Step1: Recall the exterior angle sum theorem

The exterior angle sum theorem states that the sum of the exterior angles of any convex polygon, one at each vertex, is always \(360^\circ\).

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 angles is \(360^\circ\).

Answer:

\(360^\circ\)