Question

20 determine the measure of each exterior angle of a regular pentagon. a 72° b 108° c 180° d 540°

Explanation:

Step1: Recall the formula for the measure of each exterior angle of a regular polygon

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

Step2: Identify the number of sides of a pentagon

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

Step3: Calculate the measure of each exterior angle

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

Answer:

A. \(72^{\circ}\)