Question

Please help me

In circle Y, what is mTU?

59°
67°
71°
118°

Answer 1

check the picture below

solve for TU

Answer 2

we know that

The measure of the angle formed by
`2` chords that intersect inside the circle is
`(1)/(2)` the sum of the chords' intercepted arcs. (Angles of intersecting chords theorem)

so

in this problem

`63=(1)/(2)*(SR+TU)\\ \\ 63=(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`