To answer the question, we need to find which angles are adjacent from the given diagram. Adjacent angles are two angles that share a common side and vertex without overlapping.

Let's analyze each option:

1. ∠RQN and ∠PQS:

   • ∠RQN and ∠PQS do not share a common side, so they are not adjacent.

2. ∠RQN and ∠RQS:

   • These angles share a common vertex Q and side QR. Since they are next to each other without overlapping, they are adjacent.

3. ∠RQN and ∠MNQ:

   • These angles share a common vertex N, but not a side, so they are not adjacent.

4. ∠RQN and ∠MNL:

   • These angles do not share a common vertex or side, so they are not adjacent.

Correct Answer:

The adjacent angles are ∠RQN and ∠RQS (second option).

Would you like more details, or do you have any questions?

Here are some related questions:

1. What are adjacent angles in parallel line diagrams?
2. How do alternate interior angles relate to adjacent angles?
3. Can supplementary angles also be adjacent?
4. What is the difference between adjacent and vertical angles?
5. How can we identify corresponding angles in parallel lines?

Tip: Adjacent angles always share a common side and vertex without overlapping.