Question

In circle y what is mtu???

Answer 1

The answer is C 106 degrees I believe.

Answer 2

Answer:
`82^(\circ)`

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

`\\\Rightarrow(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)`