Question

Find values of x and y for which ABCD must be a parallelogram. The diagram is not drawn to scale. (image attached)thank you ! :)

Answer 1

since the 2 ines of the parallelogram represent the diagonals

the diagonals of a parallelogram will always bisect each other

thismeans the point formed in the middle will always be the midpoint of each diagonal.

then

`2x-2=x+2`
`2x-x=2+2`
`x=4`

and

`5y-8=y+24`
`5y-y=24+8`
`4y=32`
`y=(32)/(4)`
`y=8`

then

x=4

y=8