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How can I solve x and y to prove that this is a paralellogram?

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1 Answer

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  • 2 months ago

    Since this is a parallelogram, the center line cuts across two parallel lines, alternate interior angles are equal:

    4x + 24 = 124

    3x - y = 28

    Solve the 2 equations for 2 unknowns:

    4x = 124 - 24

    4x = 100

    x = 25

    3(25) - y = 28

    -y = 28 - 75

    y = 75 - 28

    y = 47

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