For what value of x is quadrilateral CDEF a parallelogram?
с C
x + 1
F
2X-3
D
N
E
X=

Answer:
[tex] x = 4 [/tex]
Step-by-step explanation:
Since the diagonals of a parallelogram bisects each other, therefore:
[tex] x + 1 = 2x - 3 [/tex]
Collect like terms
[tex] x - 2x = -1 - 3 [/tex]
[tex] -x = -4 [/tex]
Divide both sides by -1
[tex] x = 4 [/tex]