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

<h2>Given :- </h2>
- Each interior angle of regular polygon is 120°
<h2>To Find :- </h2>
- Number of sides of the polygon
<h2>Formula :- </h2>
Interior angle of the polygon = [180(n - 2)]/n
where,
<h2>Solution :- </h2>
Let, The number of sides of polygon be n
<h3>
By substituting values according to the formula,</h3>
➯ [180(n - 2)]/n = 120°
➯ 180n - 360 = 120n
➯ 180n - 120n = 360
➯ 60n = 360
➯ n = 360/60
➠ n = 6
<h3><u>Hence, The regular polygon have 6 sides</u></h3>
Answer:
the ans is 6 sides i guess
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