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.
The answer for apex users are:
All of the radii of a circle are congruent
CPCTC
SSS triangle congruence postulate
I believe you would subtract 64 from 180 (since it’s the measurement of the straight line) that would leave you with 116. From there you would divide that by 2 since it’s split in 1/2 which would leave you with 58. Therefore, the answer is x=58