Answered

Given the measure of an interior angle of a regular polygon, how many sides does the polygon have?
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Answer :

AKPOSEVICTORGO

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.

  • Therefore:

120 = [(n - 2)180]/n

  • Solve for 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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