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    The angles of a quadrilateral are in the ratios 3 : 5: 7 : 9. The measure of the smallest angle is:
    Question

    The angles of a quadrilateral are in the ratios 3 : 5: 7 : 9. The measure of the smallest angle is:

    A.

    45°

    B.

    36°

    C.

    60°

    D.

    62°

    Correct option is A

    Given:
    Sides of quadrilateral is ratio = 3: 5: 7: 9
    Concept:
    Sum of all the angles in quadrilateral = 360°
    Solution:
    Let the constant be x
    => 3x + 5x +7x +9x =360°
    => 24x = 360° => x = 15°
    According to question: measure of the smallest angle is 3x
    ∴ 3x × 15°
    = 45°

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