Question

the exterior angle of a regular polygon measures 8°. how many sides does the polygon have?

Explanation:

Step1: Recall exterior angle sum rule

The sum of exterior angles of any polygon is $360^\circ$.

Step2: Calculate number of sides

Divide total exterior angle sum by one exterior angle measure:
$\text{Number of sides} = \frac{360^\circ}{8^\circ}$

Answer:

45