if each of the interior angle of a regular polygon is 120,find the number of sides
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Interior angle a regular polygon of n sides = (n - 2) × 180 / n
(n - 2) × 180 / n = 120
(n - 2) × 180 = 120n
180n - 360 = 120n
60n = 360
n = 6
∴ The regular polygon has 6 sides(hexagon).
(n - 2) × 180 / n = 120
(n - 2) × 180 = 120n
180n - 360 = 120n
60n = 360
n = 6
∴ The regular polygon has 6 sides(hexagon).
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