let's start with triangle UVT, in this triangle we have UV = VT, therefore, measure angle VUT is equal to measure angle VTU.
we also know that measure angle UVT = 20°
thus, angle VUT + angle VTU = 180-20=160°
since these two angles are equal, each of them will measure 160/2=80°
now, we have measure anglr RUT=90° and measure angle VUT=80°, therefore,
measure angle VUR = 90-80=10°
The right answer is A