Question

The diagonals of parallelogram ABCD intersect at point E. If DE=2X+2,BE=3X-8 ,CE=4y , and AC=32, solve for x.. . A.. x = 2. B.. x = 10. C.. x = 15. D.. x = 22.

Answer 1

the diagonals bisect eachother. 2x+2 = 3x -8 and 4y = 1/2 (32)
x - 8 = 2
x=10

Answer 2

The diagonals of parallelogram bisect each other.
DE = BE
3 x - 8 = 2 x + 2
3 x - 2 x = 2 + 8
x = 10
Answer: B) x = 10