What Is the Sum of the Measures of the Interior Angles of a Pentagon


Question: 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 540º.

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

Explanation:

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

= (5 - 2) × 180º 

= 3 × 180º

= 540º

Therefore, sum of the measures of the interior angles of a pentagon is 540º.