Question

the exterior angle of a regular polygon measures 15°. how many sides does the polygon have?

Explanation:

Step1: Recall exterior angle sum of polygon

The sum of exterior angles of any regular polygon is \(360^\circ\).

Step2: Calculate number of sides

Let \(n\) be the number of sides. Each exterior angle is \(15^\circ\), so \(n=\frac{360^\circ}{15^\circ}\).
Calculate \(\frac{360}{15} = 24\).

Answer:

The polygon has 24 sides.