Question

1. what is the measure of an exterior angle of a regular hexagon? 360° 180° 30° 60°

Explanation:

Step1: Recall exterior - angle sum property

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

Step2: Identify number of sides of hexagon

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

Step3: Calculate exterior - angle measure

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

Answer:

60°