To find the measure of angle x, we use the intersecting chords theorem in a circle.
The theorem is shown below;
[tex]x=\frac{1}{2}(m\angle AB+m\angle CD)[/tex]
Thus, using this theorem and comparing to the question, we have;
[tex]\begin{gathered} x=\frac{1}{2}(80+60) \\ x=\frac{1}{2}(140) \\ x=70^0 \end{gathered}[/tex]
Therefore, the value of x = 70 degrees.
