Answer: 238 degrees
=========================================================
Step-by-step explanation:
Arc RTU is a semicircle of measure 180 degrees. This is because segment RU is a diameter of the circle.
Minor arcs RS, ST, and TU all combine to form arc RTU.
RS + ST + TU = RTU
x+70+52 = 180
x+122 = 180
x = 180-122
x = 58
Minor arc RS is 58 degrees in measure.
This means central angle RCS = 58 degrees, where C is the center of the circle.
Vertical angles are always congruent, which leads to central angle VCU being 58 degrees as well. This in turn leads to minor arc UV = 58.
In short, minor arc RS = minor arc UV = 58 degrees.
-----------------
So,
arc RTV = (arc RTU) + (minor arc UV)
arc RTV = (180) + (58)
arc RTV = 238 degrees