Question

In circle Y, what is m? 59° 67° 71° 118°

Answer 1

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

$\frac{arc \ SR+arc \ TU}{2}=63 \\ \\ 55+arc \ TU=63*2 \\ \\55+arc \ TU=126\\\\ \ arc \ TU = 126-55=71^o$

Answer 2

Answer:

$arc\ TU=71\°$

Step-by-step explanation:

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite

In this problem we have that

$63\° =\frac{1}{2}(arc\ SR+arc\ TU)$

we have

$arc\ SR=55\°$

substitute and solve for arc TU

$63\° =\frac{1}{2}(55\°+arc\ TU)$

$126\° =(55\°+arc\ TU)$

$arc\ TU=126\°-55\°=71\°$