Question

If an interior angle of a regular polygon has a measure of 120 degrees, how many sides does it have?

Answer 1

Answer: 6 sides

Explanation:

The formula to find the interior angle of a polygon is 180(n - 2) over n.

So, we know that the interior angle of the polygon which is 120, therefore we can produce this equation, 180(n - 2) over 2 n, equals to 120.

Now we use algebric method to solve for n.

180n − 360 = 120n

60n = 360

n = 6

So, the answer is = 6 sides