Question

what is the sum of the measures of the exterior angles of the polygon shown below? if necessary, round to the nearest tenth.

Explanation:

Step1: Recall the exterior angle sum theorem

The sum of the exterior angles of any convex polygon (one at each vertex) is always \( 360^\circ \), regardless of the number of sides the polygon has.

Step2: Identify the polygon

The polygon shown is a triangle (a 3 - sided polygon). Since the exterior angle sum theorem applies to all convex polygons, including triangles.

Answer:

The sum of the measures of the exterior angles of the triangle (the given polygon) is \( 360^\circ \)