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

1 Answer
Dec 17, 2017

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