find the value of x for which abcd must be a parallelogram

Answer:
x = 4 is the value for which ABCD will be a parallelogram.
Step-by-step explanation:
In the given figure ABCD is the parallelogram in which opposite sides AB is parallel and equal to CD.
Since BD is transverse so m∠ABD = m∠BDC
Therefore, (x + 3) = (2x - 1)
x = 2x - 1 - 3
x = 2x - 4
x - 2x = -4
-x = -4
x = 4
For x = 4, quadrilateral ABCD will be a parallelogram.