Hey. Let me help you on this one.
As you can see on the image, the angles we see in the question are made with intersecting lines such as

and

.
As we know, when two lines intersect, vertical angles that are equal are formed. Vertical angles are angles that are placed opposite of each other when it comes to angles such as these.
The question asks us to find measure of PVU. Let's look if it has a vertical angle. Yes, it surely does. It's RVS.
In order for us to know one, we need to know another vertical angle. Measure of RVS is 63 degrees, meaning that the only logical solution to the question stated would be 63 degrees as well.

≅


degrees

degrees
Question is solved! I will also be attaching an image to help you with your studies.
Answer: Measure of the angle is 63 degrees.