In circle Y, what is mTU?

we know that
The measure of the interior angle is the half-summit of the arcs that comprise it and its opposite
so
[tex] 63=\frac{1}{2} *(arc \ SR+arc\ TU)\\ \\ 126=55+arc\ TU\\ \\ arc\ TU=126-55\\ arc\ TU=71\ degrees [/tex]
therefore
the answer is
the measure of arc TU is equal to [tex] 71\ degrees [/tex]
Answer:
The measure of the arc TU will be equal to 71°.
Step-by-step explanation:
We know that the measure of the interior angle is half the sum of the arcs that comprise it and is opposite to it, therefore
[tex]63=\frac{1}{2}(arcSR+arcTU)[/tex]
⇒[tex]126=55+arcTU[/tex]
⇒[tex]126-55=arcTU[/tex]
⇒arcTU=71°
Therefore,the measure of the arc TU will be equal to 71°.