Posted by **Ryan** on Thursday, November 24, 2011 at 11:49pm.

Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale.

2x-2

y+24

5y-8

x+2

- geometry -
**drwls**, Friday, November 25, 2011 at 1:57am
Without the diagram, we have no way of knowing.

- geometry -
**Steve**, Friday, November 25, 2011 at 6:14am
I'll take a stab at it. Assuming the vertices are labeled ABCD in order, and the sides are listed in the same order, starting with AB, then we have to have opposite sides equal:

2x-2 = 5y-8

y+24 = x+2

x = 116/3

y = 50/3

Awkward, but it's a solution.

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