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    Question

    If ratio of interior & exterior angle of a regular

    polygon is 5:3, then number of sides of the polygon is
    A 20 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer
    E 12 Correct Answer Incorrect Answer

    Solution

    We know that I + E = 180 & I :E = 5:3 Let I = 5k & E = 3k So 5k + 3k = 180 or 8k =180 or k = 22.5 ; It means exterior angle = 22.5 = 360/N or N = 360/22.5 = 16

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