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In order for the parallelogram to be a rhombus, x=?

In order for the parallelogram to be a rhombus, x=?-example-1

1 Answer

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Answer:

Explanation:

The diagonal must be an angle bisector for a rhombus.

That means that both bisected angles are equal.

2x + 16 = 5x - 8 Add 8 to both sides

2x + 16 + 8 = 5x

2x + 24 = 5x Subtract 2x from both sides

24 = 5x - 2x

24 = 3x Divide by 3

24/3 = x

x = 8

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