If each interior angle of a regular polygon measures 120 , how many sides does the polygon have?

Given :- Each interior angle of regular polygon is 120°To Find :- Number of sides of the polygon Formula :-

Interior angle of the polygon = [180(n - 2)]/n

where,

n = sides of the polygonSolution :-

Let, The number of sides of polygon be n

By substituting values according to the formula,

➯ [180(n - 2)]/n = 120°

➯ 180n - 360 = 120n

➯ 180n - 120n = 360

➯ 60n = 360

➯ n = 360/60

➠ n = 6

Hence, The regular polygon have 6 sides

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