x=
115.5
137
180
Look at attachment

Answer:
[tex]x=180\°[/tex]
Step-by-step explanation:
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
[tex]137\°=\frac{1}{2}(94\°+x)[/tex]
solve for x
[tex]274\°=(94\°+x)[/tex]
[tex]x=274\°-94\°=180\°[/tex]