Question

Please help me In circle Y, what is mTU? 59° 67° 71° 118°

Answer 1

we know that

The measure of the angle formed by $2$ chords that intersect inside the circle is $\frac{1}{2}$ the sum of the chords' intercepted arcs. (Angles of intersecting chords theorem)

so

in this problem

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

therefore

the answer is

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

Answer 2

Check the picture below

solve for TU