Find the Number of Sides of a Regular Polygon if One Interior Angle is 120 degrees.
We will be using the formula of interior angles of a regular polygon to solve this.
Answer: If an interior angle of a regular polygon measures 120°, it has 6 sides (Hexagon).
Let us solve it step by step.
Given that, one interior angle is 120 degrees.
Sum of interior angles of a regular polygon = (n − 2) × 180°
Interior angle of a regular polygon = [(n − 2) × 180°] / n
120° = [(n − 2) × 180°]/n
120n = 180n - 360
60n = 360
n = 6