In the attached we are given that the measure of angle T is equal to 82°. With this being given, we can then calculated for the total measure of arc SU which is intercepted by the angle T. The measure of the arc is twice the measure of the angle.
arc SU = (2)(82°) = 164°
We are also given that SV is equal to 120° and that,
arc SU = arc SV + arc VU
Substituting the known values,
164° = 120° + arc VU
The measure of arc VU is therefore equal to 44°.
Answer: 44°
