177k views
4 votes
Please help me

In circle Y, what is mTU?

59°
67°
71°
118°

Please help me In circle Y, what is mTU  ? 59° 67° 71° 118°-example-1

2 Answers

3 votes
check the picture below

solve for TU
Please help me In circle Y, what is mTU  ? 59° 67° 71° 118°-example-1
User Kirill Husiatyn
by
8.3k points
4 votes

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


User Streetlogics
by
8.0k points

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