The diagram shows two parallel lines $QS$ and $TV$, intersected by two transversal lines, $PR$ and $UW$, at points $R$ and $U$, respectively.

The problem is asking which pairs of angles are vertical angles. Vertical angles are pairs of opposite angles formed when two lines intersect, and they are always congruent.

In the diagram:

• $\angle VUR$ and $\angle TUR$ are vertical angles because they are formed by the intersection of lines $UW$ and $TV$.
• Similarly, $\angle VUR$ and $\angle TUW$ are vertical angles because of the same intersection.

Thus, the correct pair of vertical angles is $\angle VUR$ and $\angle TUR$.

Would you like more details or further clarification?

Related Questions:

1. What are alternate interior angles in the diagram?
2. How do you prove that vertical angles are always congruent?
3. How are corresponding angles related when two parallel lines are cut by a transversal?
4. Can you identify other pairs of vertical angles in the diagram?
5. How can you find the measures of these angles if given some values?

Tip:

Vertical angles are always congruent, and this property is useful for solving geometric problems involving intersecting lines.