Question

For what value of x must ABCD be a​ parallelogram?

Answer 1

5x = 6x-7

subtract 6x from each side

-x=-7

x=7

Answer 2

Answer: The value of x must be 7 units.

Step-by-step explanation:

Since we have given that

ABCD is a parallelogram.

Suppose that AC and BD intersect at o.

So, AO = OC.

And we have given that

AO = 5x

OC = 6x-7

According to question,

$5x=6x-7\\\\5x-6x=-7\\\\-x=-7\\\\x=7$

Hence, the value of x must be 7 units.