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Aliun [14]
1 year ago
6

Find the values of X and Y in the parallelogram.

Mathematics
1 answer:
galben [10]1 year ago
6 0

Answer: x=-5, y=20

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so AB=CD.

x^{2}-15=-2x\\x^{2}+2x-15=0\\(x+5)(x-3)=0\\x=-5, 3

But as distance must be positive, as CD=-2x, x must be negative, so x=-5.

Opposite angles of a parallelogram are congruent, so m\angle D=m\angle B.

4y+26=106\\4y=80\\y=20

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