Question

If DH=4x-2 and FH=x+28, find the value of x for which DEFG must be a parallelogram.

A)7
B)8
C)10
D)6

Answer 1

Given that DH=4x-2 and FH=x+28, the value of x which will make DEFG a parallelogram will be given as follows;
4x-2=x+28
4x-x=28+2
3x=30
thus
x=30/3
x=10
The answer is C] 10