Question

question 8 of 10
to the nearest degree, what is the measure of each exterior angle of a regular hexagon?
a. 45°
b. 51°
c. 60°
d. 30°

Explanation:

Step1: Recall exterior - angle sum formula

The sum of exterior angles of any polygon is 360°.

Step2: Identify number of sides

A hexagon has \(n = 6\) sides.

Step3: Calculate measure of each exterior angle

For a regular hexagon, each exterior angle \(\theta=\frac{360^{\circ}}{n}\). Substituting \(n = 6\), we get \(\theta=\frac{360^{\circ}}{6}=60^{\circ}\).

Answer:

C. 60°