Question

In circle y what is mtu???

Answer 1

Answer: $82^{\circ}$

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, $\frac{1}{2}(arc{TU}+arc{SR})=94^{\circ}$

$\\\Rightarrow\frac{1}{2}(arc{TU}+106^{\circ})=94^{\circ}\\\\\Rightarrow(arc{TU}+106^{\circ})=188^{\circ}\\\\\Rightarrow arc{TU}=188^{\circ}-106^{\circ}\\\\\Rightarrow arc{TU}=82^{\circ}$

Answer 2

The answer is C 106 degrees I believe.