Question

1. what is the measure of one exterior angle of a regular pentagon? a. 85° b. 72° c. 60° d. 45°

Explanation:

Step1: Recall the formula for exterior angles of a regular polygon

The sum of the exterior angles of any polygon is \( 360^\circ \). For a regular polygon with \( n \) sides, each exterior angle \( \theta \) is given by \( \theta=\frac{360^\circ}{n} \).

Step2: Identify the number of sides of a pentagon

A pentagon has \( n = 5 \) sides.

Step3: Calculate the measure of one exterior angle

Substitute \( n = 5 \) into the formula: \( \theta=\frac{360^\circ}{5}=72^\circ \).

Answer:

B. \( 72^\circ \)