Question

1. choose the correct answer.

use the polygon exterior angle sum theorem to find the sum of the measures of the exterior angles of the regular pentagon.
180°
72°
540°
360°

Explanation:

Step1: Recall the Polygon Exterior Angle Sum Theorem

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of any polygon (one at each vertex) is \(360^{\circ}\).

Step2: Apply the theorem to the pentagon

Since the given figure is a pentagon (a polygon), by the Polygon Exterior Angle Sum Theorem, the sum of its exterior angles is \(360^{\circ}\).

Answer:

\(360^{\circ}\) (the fourth option)