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    Question

    Each interior angle of a regular polygon is 150°. 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 − 2) × 180]/n = 150
    ⇒ 180n − 360 = 150n ⇒ 30n = 360 ⇒ n = 12 So it is a regular 12-sided polygon (dodecagon).

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