Question

if the measure of an interior angle of a regular polygon is 120 degrees, how many sides does the polygon have?

Answer 1

6 sides

Explanation:

since the measure of an interior angle of a polygon can be found with the formula 180(n-2) / n where n is the number of sides we can substitute 120 to the answer and cross multiply to find that

120n = 180(n-2)

120n = 180n-360

360 = 60n

n = 6