Each interior angle of a polygon is $120 °$ . Find the number of sides.

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Solution

Each interior angle of regular polygon is $\frac{(n - 2) \times 180 °}{n}$
$\frac{(n - 2) \times 180 °}{n} = 120 ° (n - 2) = \frac{120}{180} \times n (n - 2) = \frac{2}{3} \times n 3 n - 6 = 2 n n = 6$
So, its a hexagon.
Therefore, the number of sides = $6$

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