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 has 5 Sides and is a pentagon.
Let's solve it step by step.
The Sum of interior angles of a Polygon with 'n' sides is: (n - 2) × 180°
⇒ (n - 2) × 180° = 540°
⇒ n - 2 = 3
⇒ n = 3 + 2
⇒ n = 5.
Thus, it's a pentagon.