Circle Y is shown. Chords R T and S U intersect. Arc R S is 106 degrees. The angle that intercepts arc R S is 94 degrees. In circle Y, what is mArc T U?

82°
100°
106°
118°

Given:

Consider the below figure attached with this question.

In Circle Y, Chords R T and S U intersect.

Arc RS is 106 degrees.

The angle that intercepts arc RS is 94 degrees.

To find:

The measure of arc(TU).

Solution:

If two chords intersect each other insider the circle, then the half of sum of intercepted arcs is equal to the angle on intersection of those arcs.

For the given problem,

The measure of arc(TU) is 82 degrees.

Therefore, the correct option is A.

step-by-step explanation:

where is the questions