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    BD is the diagonal of parallelogram ABCD such that ∠CBD = 12x, ∠ABD = 7y, ∠ADB = 60° and ∠CDB = 28°. Then, the value of 2x+3y is:
    Question

    BD is the diagonal of parallelogram ABCD such that ∠CBD = 12x, ∠ABD = 7y, ∠ADB = 60° and ∠CDB = 28°. Then, the value of 2x+3y is:

    A.

    21°

    B.

    22°

    C.

    23°

    D.

    20°

    Correct option is B

    Given ∠CBD = 12x, ∠ABD = 7y, ∠ADB = 60° and ∠CDB = 28°.
    Where ∠CBD = ∠ADB (opposite angle)
    12x= 60°
    X = 5°
    And ∠ABD = ∠CDB (opposite angle)
    7y=28°
    y= 4°
    2x+3y = 2×5+3×4=22°

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