Question

In circle Y, what is mTU?

Answer 1

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

$63=\frac{1}{2}(arcSR+arcTU)$

⇒$126=55+arcTU$

⇒$126-55=arcTU$

⇒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

$63=\frac{1}{2} *(arc \ SR+arc\ TU)\\ \\ 126=55+arc\ TU\\ \\ arc\ TU=126-55\\ arc\ TU=71\ degrees$

therefore

the answer is

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