The correct option is
C 30∘![](https://infinitestudent-migration-images.s3-us-west-2.amazonaws.com/_c8c863021ea9a08cefa75261f4bd9884698d3d3720160906-14121-cwl81j.png)
Given:
∠BAD=120∘ and ∠DBC=x
∠B=2∠DBC=2x [Since, diagonals bisect the angles in rhombus]
We have,
∠DAB+∠ABC=180∘ [Co-interior angles on the same side of transversal]
⇒120∘+2x=180∘
⇒2x=180∘−120∘
⇒x=602=30∘
Hence, the value of
x is
30∘ .