Question

Find the values of X and Y in the parallelogram.

Answer 1

Answer: x=-5, y=20

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`