Question

each exterior angle in a regular polygon has a measure of 30. how many sides does the polygon have? a 12 b 8 c 14 d 10

Explanation:

Step1: Recall the formula for the number of sides of a regular polygon

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

Step2: Substitute the given value of the exterior angle

Given \(x = 30^{\circ}\), then \(n=\frac{360}{30}\).

$$n=\frac{360}{30}=12$$

Answer:

A. 12