Question

If LMNO is a parallelogram, what are the values of x and y if `ON=5x-7, LM = 4x +4, and NM = x-7`?

Answer 1

Considering `OL = y`
`x= 11 and y = 4`

Explanation:

Given that :
`ON=5x-7, LM = 4x +4, and NM = x-7`

In the parallelogram`LMNO`,
Side`LM` is opposite and parallel to side `ON` and will have equal lengths according to the properties of a parallelogram.

`therefore ON =LM`

`=> 5x-7 = 4x +4`

`=> 5x - 4x = 4 +7`

`=> x = 11`

If side `OL = y`,
then

`NM` will be parallel to `OL`

And as `NM` and side `OL` are opposite sides of a parallelogram , they will have equal lengths.

`therefore NM = OL`

`=> x-7 = y`

`=> y = 11-7 = 4`

Answer : `x= 11 and y = 4`