Question

1. what is the measure of one interior angle of a regular pentagon? a. 540° b. 360° c. 108° d. 90°

Explanation:

Step1: Find sum of interior angles

For a polygon with \( n \) sides, the sum of interior angles is \( (n - 2)\times180^\circ \). A pentagon has \( n = 5 \), so sum is \( (5 - 2)\times180^\circ = 540^\circ \).

Step2: Find one interior angle

A regular pentagon has 5 equal interior angles. So one angle is \( \frac{540^\circ}{5} = 108^\circ \).

Answer:

C. \( 108^\circ \)