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In the provided diagram, you are asked to identify the pair of vertical angles. Vertical angles are formed when two lines intersect, and they are opposite angles that are equal to each other.

Looking at the diagram:

- Lines \(MO\) and \(PR\) are parallel, and line \(LN\) acts as a transversal. Also, line \(PQ\) intersects \(PR\) at point \(Q\), creating additional intersections.
  
### Now, analyzing angle pairs:
- \( \angle PQS \) is formed at point \(Q\) between lines \(PQ\) and \(RS\).
- The angle directly opposite \( \angle PQS \) would be \( \angle MNQ \), which forms at the same intersection but on the opposite side of point \(Q\).

Therefore, the pair of vertical angles is:
\[ \angle PQS \text{ and } \angle MNQ \]

The correct answer is: **\( \angle PQS \) and \( \angle MNQ \)**.

Would you like further details on how vertical angles are identified?

Here are some related questions:
1. What are the properties of vertical angles?
2. How are parallel lines used to find corresponding angles?
3. How does a transversal line affect the angles in parallel lines?
4. What are alternate interior angles?
5. What is the difference between adjacent and vertical angles?

**Tip**: Vertical angles are always equal, and they are formed by the intersection of two lines, appearing directly opposite each other.

Explore how to identify vertical angles formed by parallel lines intersected by a transversal. Understand key concepts like parallel lines, vertical angles, and the Vertical Angles Theorem. This problem is suitable for students in Grades 8-10.

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