Question

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

Answer 1

X+3=2x-1
3=x-1
4=x
x=4
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Answer 2

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.