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.

Explanation:

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

Hence, If an interior angle of a regular polygon measures 120°, it has 6 sides (Hexagon).