Answer: x = 2
Concept:
There are many properties for parallelograms, however, here, we need to focus on one property about diagonals.
Diagonals of a parallelogram bisect each other.
Solve:
Given information
One side of the diagonal = 6x
The other side of diagonal = 2x + 8
Given expression deducted from the property of parallelogram
One side = Other side
Substitute values into the expression
6x = 2x + 8
Subtract 2x on both sides
6x - 2x = 2x + 8 - 2x
4x = 8
Divide 4 on both sides
4x / 4 = 8 / 4
[tex]\boxed{x=2}[/tex]
Hope this helps!! :)
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