The value of x is 5
Explanation
Given <ACD=2x+4
<ACB=5x-11
Given that ABCD is a rhombus. So the opposite angles will be same and all the sides will be equal.
![AB=BC=CD=AD\\](https://tex.z-dn.net/?f=AB%3DBC%3DCD%3DAD%5C%5C%3CA%3D%3CC%5C%5C%3CB%3D%3CD%3Dy%5C%5C%3CC%3D%3CACD%2B%3CACB%5C%5C%3CC%3D2x%2B4%2B5x-11%5C%5C)
diagonal AC divides the rhombus into two triangles ACD and ACB
according to angle sum property, the sum of all angles of a triangle is 180.
consider triangle ACD
![](https://tex.z-dn.net/?f=%3CDAC%2B%3CDCA%2B%3CD%3D180%5C%5C2x%2B4%2B2x%2B4%2By%3D180%5C%5C4x%2B8%2By%3D180%281%29%5C%5C%3CCAB%2B%3CACB%2B%3CB%3D180%5C%5C5x-11%2B5x-11%2By%3D180%5C%5C10x-22%2By%3D180%282%29%5C%5C%5C%5C%5C%5C%5C%5Ccomparing%20%281%29%20%26%282%29%5C%5C4x%2B8%2By%3D10x-22%2By%5C%5C6x%3D30%5C%5Cx%3D30%2F6%3D5)
Answer:
Nah, I don't think so. But if that real, then woah
The awnser is c not sure tho