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    If the angles of a quadrilateral are in the ratio of 4: 9: 11: 12, then the largest of these angles is:
    Question

    If the angles of a quadrilateral are in the ratio of 4: 9: 11: 12, then the largest of these angles is:

    A.

    72°

    B.

    120°

    C.

    168°

    D.

    166°

    Correct option is B

    Given:
    Angles of a quadrilateral are in the ratio of 4: 9: 11: 12
    Solution:
    Angles of the quadrilateral be 4x, 9x, 11x, and 12x
    The sum of the angles of a quadrilateral is 360°
    4x + 9x + 11x + 12x = 360°
    36x = 360°
    x = 10°
    The angles of the quadrilateral are
    4x = 40°, 9x = 90°, 11x = 110°and 12x = 120°
    The largest angle is 12x = 12×\times​10° = 120°.
    Therefore, the largest angle is 120°.

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