The Sum of The Interior Angles of a Pentagon


Question: What is the sum of the interior angles of a pentagon?

A pentagon is a polygon, which has five sides and five angles.

Answer: The sum of the interior angles of a pentagon is 540 degrees.

An interior angle is an angle measured between the two sides of a polygon.

Explanation:

Sum of the interior angles of a polygon is given by (n - 2) × 180 degrees.

Thus, for pentagon, n would be 5 giving the sum equal to

(5 - 2) × 180 = 540 degrees.

Thus, the sum of the interior angles of a pentagon is 540 degrees.