If ON=5x-6,LM=4x+4,NM=x-5, and OL=3y-6, find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale.

Answer 1

LM=NO, so
4x+4 = 5x-6
x = 10

MN = OL, so
3y-6 = x-5
y = 7