We have to use the two secants theorem, which states-
[tex]m\angle ABD=\frac{1}{2}(AD-AC)[/tex]
Using the given information, we have
[tex]\begin{gathered} x=\frac{1}{2}(122-41) \\ x=\frac{1}{2}(81) \\ x=40.5 \end{gathered}[/tex]
Hence, the value of x is 40.5°.
