Geometry PARALLELOGRAM question?

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If ON=8x-8, LM=7x+4, NM=x-5, and OL=3y-6,
find the values of x and y for which LMNO must
be a parallelogram.
{O is on the left, N is on top right, L is on bottom left
and M is on bottom right}

Thank You :)

  • Geometry PARALLELOGRAM question? -

    For a parallelogram, opposite sides must be equal.

    ON = LM
    8x-8 = 7x+4
    x = 12

    OL = NM
    3y-6 = x-5
    3y-6 = 12-5 = 7
    3y = 13
    y = 13/3

  • Geometry PARALLELOGRAM question? -

    ha

  • Quadrilateral -

    Maths

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