Given:
The measure of angle of arrc SQ is 160°.
The measure of angle of arc PR is 102°.
The objective is to find the measure of angle x.
Since, the angle x is away from te center of the circle.
Then, the formula to find the value of angle x is,
[tex]x=\frac{PR+SQ}{2}[/tex]
Now, substitute the given values in the above formula.
[tex]\begin{gathered} x=\frac{102+160}{2} \\ =\frac{262}{2} \\ =131\degree \end{gathered}[/tex]
Hence, the value of x is 131°.
