# An interior angle of a regular polygon has a measure of 108°. What type of polygon is it?

We will be using the formula of interior angles of a regular polygon to solve this.

## Answer: If an interior angle of a regular polygon measures 108°, then it is a pentagon (a 5-sided polygon).

Let us solve it step by step.

**Explanation:**

Given that, one interior angle is 108 degrees.

Sum of interior angles of a regular polygon = (n − 2) × 180°

Interior angle of a regular polygon = [(n − 2) × 180°] / n

108° = [(n − 2) × 180°]/n

108n = 180n - 360

72n = 360

n = 5

A 5-sided polygon is called a pentagon.