# What is the sum of the measures of the interior angles of a pentagon?

The angles that lie inside a shape (generally a polygon) are said to be interior angles and a pentagon is defined as a polygon with 5 sides.

## Answer: The sum of the measures of the interior angles of a pentagon is 540^{º}.

The formula to find the sum of the measures of the interior angles of a polygon is (n - 2) × 180^{º} where n is a number of sides.

**Explanation:**

Sum of the measures of the interior angles of a pentagon = (n - 2) × 180^{º}

= (5 - 2) × 180^{º}

= 3 × 180^{º}

= 540^{º}