Question

In circle Y, what is mTU?

Answer 1

The measure of the arc TU will be equal to 71°.

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

`63=(1)/(2)(arcSR+arcTU)`

⇒
`126=55+arcTU`

⇒
`126-55=arcTU`

⇒arcTU=71°

Therefore,the measure of the arc TU will be equal to 71°.

Answer 2

we know that

The measure of the interior angle is the half-summit of the arcs that comprise it and its opposite

so

`63=(1)/(2) *(arc \ SR+arc\ TU)\\ \\ 126=55+arc\ TU\\ \\ arc\ TU=126-55\\ arc\ TU=71\ degrees`

therefore

the answer is

the measure of arc TU is equal to
`71\ degrees`