Question

what is the measure of an exterior angle of a regular hexagon?

Explanation:

Step1: Recall the formula for the measure of an exterior angle 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 regular hexagon.

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

Step3: Calculate the measure of the exterior angle.

Substitute \(n = 6\) into the formula \(\theta=\frac{360^\circ}{n}\). So, \(\theta=\frac{360^\circ}{6}=60^\circ\).

Answer:

\(60^\circ\)