The relation between arcs AB and CD and angle x is:
[tex]m\angle x=\frac{1}{2}(m\hat{AB}+m\hat{CD})[/tex]Substituting with data, we get:
[tex]\begin{gathered} m\angle x=\frac{1}{2}(110+160) \\ m\angle x=\frac{1}{2}\cdot270 \\ m\angle x=135\text{ \degree} \end{gathered}[/tex]