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    Question

    If ratio of interior & exterior angle of a regular

    polygon is 4:5, 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

    Solution

    We know that I + E = 180 & I :E = 4:5 Let I = 4k & E = 5k So 4k + 5k = 180 or 9k =180 or k = 20 ; It means exterior angle = 20 = 360/N or N = 360/20 = 18

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