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    Question

    The ratio of the angles of a quadrilateral is 3:2:7:8. What

    is the sum of the largest and the smallest angle?
    A 120⁰ Correct Answer Incorrect Answer
    B 193⁰ Correct Answer Incorrect Answer
    C 225⁰ Correct Answer Incorrect Answer
    D 180⁰ Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the angles be 'y', '2y', '7y' and '8y' respectively.

    Sum of all the angles in a quadrilateral = 360⁰

    So, y + 2y + 7y + 8y = 360

    Or, 18y = 360

    Or, y = 20

    Therefore, required sum = y + 8y = 9y = 9 × 20 = 180⁰

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