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.
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.