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3 years ago

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

Mathematics

2 answers:

Tom [10]3 years ago

6 0

$\huge\sf{Answer :- }$

<h2>Given :- </h2>

Each interior angle of regular polygon is 120°

Number of sides of the polygon

<h2>Formula :- </h2>

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

where,

n = sides of the polygon

<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>

KatRina [158]3 years ago

3 0

Answer:

the ans is 6 sides i guess

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3 years ago

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

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