How many sides has a regular polygon whose interior angles are 120° each?
Question 1 Report
How many sides has a regular polygon whose interior angles are 120° each?
Answer Details
A regular polygon is a polygon with equal sides and equal angles. The formula to find the interior angles of a regular polygon is:
Interior Angle = (n - 2) x 180 / n
where n is the number of sides of the polygon.
We are given that the interior angles of the regular polygon are 120°. Substituting this value into the formula, we get:
120 = (n - 2) x 180 / n
Simplifying this equation, we get:
120n = 180n - 360
360 = 60n
n = 6
Therefore, the regular polygon has 6 sides.
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