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      Question

      Each interior angle of a regular polygon is 150Β°. Find

      the number of sides of the polygon.
      A 12 Correct Answer Incorrect Answer
      B 18 Correct Answer Incorrect Answer
      C 22 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      Interior angle of a regular n-gon: [(n βˆ’ 2) Γ— 180]/n = 150
      β‡’ 180n βˆ’ 360 = 150n β‡’ 30n = 360 β‡’ n = 12 So it is a regular 12-sided polygon (dodecagon).

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