geometry

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determine the values of x and y for which ABCD is a parallelogram. AB = 3x + 7, BC = y +8, CD = 5x + 1, DA = 2y - 3

  • geometry -

    The opposite sides are equal:

    AB = CD
    3x + 7 = 5x + 1
    3x - 5x = 1 - 7
    -2x = -6
    X = 3.

    BC = DA
    y + 8 = 2y - 3
    y - 2y = -3 -8
    -y = -11
    Y = 11.

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