Question

If dh = 4x – 17 and fh = x 13, find the value of x for which defg must be a parallelogram. 10 8 6 7

Answer 1

If DEFG is a parallelogram, then DF is a diagonal of a parallelogram.
DH = FH
4 x - 17 = x + 13
4 x - x - 17 = x - x + 13
3 x - 17 = 13
3 x - 17 + 17 = 13 + 17
3 x = 30
x = 30 : 3
x = 10
Answer:
A ) x = 10