Question

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

Answer 1

the ans is 6 sides i guess

Answer 2

`\huge\sf{Answer :- }`

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 polygon

Solution :-

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