Respuesta :

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°.