Question

The total number of degrees in the center is 360°. if all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles? 54° 72° 108° 144°

Answer 1

54°

Explanation:

Since the 5 vertex angles are congruent, each vertex angle = 360/5 = 72°

The sum of the angles of each triangle is 180-72 = 108°

The base angles of each triangle are equal to each other so each base angle = 108/2 = 54°