# If the Sum of the Interior Angles of a Polygon is 540°, how many Sides does the Polygon have?

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

## Answer: If the Sum of the Interior Angles of a Polygon is 540°, then it's a Pentagon with 5 Sides.

Let's solve it step by step.

**Explanation:**

The Sum of interior angles of a Polygon with 'n' sides is: (2n - 4) × 90°

⇒ (2n - 4) × 90° = 540°

2n - 4 = 6

2n = 6 + 4

2n = 10

n = 5.