Question

question 3
4 pts
at is the measure of each exterior angle of a regular polygon with 15 sides?
360 degrees
24 degrees
156 degrees
180 degrees

Explanation:

Step1: Recall the formula for exterior angles of a regular polygon

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

Step2: Substitute \(n = 15\) into the formula

Here \(n = 15\), so \(\theta=\frac{360^{\circ}}{15}\).
Calculate \(\frac{360}{15}=24\).

Answer:

24 degrees