Question

For what value of x is quadrilateral CDEF a parallelogram?

с C
x + 1
F
2X-3
D
N
E
X=

Answer 1

`x = 4`

Explanation:

Since the diagonals of a parallelogram bisects each other, therefore:

`x + 1 = 2x - 3`

Collect like terms

`x - 2x = -1 - 3`

`-x = -4`

Divide both sides by -1

`x = 4`