The number of sides that a regular polygon with an interior angle of 120 degrees has is: 6 sides.
How to Find the Number of Sides of a Regular Polygon
- If we know the size of one interior angle of a regular polygon, we can find the number of sides of the polygon.
- Use the formula: interior angle = [(n - 2)180]/n
Let's assume the given interior angle of the regular polygon is 120 degrees.
120 = [(n - 2)180]/n
120n = (n - 2)180
120n = 180n - 360
120n - 180n = -360
-60n = -360
n = 6
Therefore, the number of sides that a regular polygon with an interior angle of 120 degrees has is: 6 sides.
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