Question
Each interior angle of a regular polygon is 150°. Find
the number of sides of the polygon.Solution
Interior angle of a regular n-gon: [(n − 2) × 180]/n = 150
⇒ 180n − 360 = 150n ⇒ 30n = 360 ⇒ n = 12 So it is a regular 12-sided polygon (dodecagon).
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