# 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.

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