Question

1. find the measure of each of the exterior angles of the regular hexagon using the polygon exterior angle sum theorem.

60°
720°
120°
1080°

Explanation:

Step1: Recall the Polygon Exterior Angle Sum Theorem

The sum of the exterior angles of any polygon is \(360^{\circ}\).

Step2: Identify the number of sides of a hexagon

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

Step3: Calculate the measure of each exterior angle

Since the hexagon is regular (all exterior angles are equal), we use the formula \(\text{Measure of each exterior angle}=\frac{360^{\circ}}{n}\). Substituting \(n = 6\), we get \(\frac{360^{\circ}}{6}=60^{\circ}\).

Answer:

\(60^{\circ}\) (corresponding to the first option)