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In quadrilateral ABCD, m∠ACD = 2x + 4 and m∠ACB = 5x-8. For what value of x is ABCD a rhombus.

Mathematics
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1 Attachment
In a rhombus, each diagonal bisects a pair of opposite angles.
I keep getting 6 at the very end, is that correct?

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Other answers:

No, x is not 6. How did you set up your equation?
I'm doing what my teacher says, solve both equations for x then adding them together. I did just redo it the way he told me to and i got 5
Show me the equation you are trying to solve.
2x + 4=2 + 5x-8=3 then 3+2=5 This is what my teacher taught me but it just doesnt seem right
Since the diagonal bisects the opposite angles, that means m
4
Correct
You should be a teacher.
Thanks. I hope you understood the problem. You need to take the understanding of the geometry part to then handle the algebra part

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