Answer: [tex]82^{\circ}[/tex]
Step-by-step explanation:
- The intersecting chords theorem says that if two chords intersect inside a circle, then the measure of the angle produced is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore, [tex]\frac{1}{2}(arc{TU}+arc{SR})=94^{\circ}[/tex]
[tex]\\\Rightarrow\frac{1}{2}(arc{TU}+106^{\circ})=94^{\circ}\\\\\Rightarrow(arc{TU}+106^{\circ})=188^{\circ}\\\\\Rightarrow arc{TU}=188^{\circ}-106^{\circ}\\\\\Rightarrow arc{TU}=82^{\circ}[/tex]
