Adjacent angles are two angles that share a common vertex and a common side, but do not overlap.

In the diagram, we need to find two angles that meet this criterion. Let's analyze the options:

1. ∠QPR and ∠NMP: These angles do not share a common side or vertex, so they are not adjacent.
2. ∠LMK and ∠OPR: These angles do not share a common side or vertex, so they are not adjacent.
3. ∠NMK and ∠LMP: These angles share the vertex $M$ and the side $\overrightarrow{MK}$, making them adjacent.
4. ∠LMP and ∠LMK: These two angles overlap as they both include the angle $\angle LMK$, so they are not adjacent.

Thus, the correct answer is ∠NMK and ∠LMP, which are adjacent angles.

Would you like more details or have any further questions?

Here are 5 related questions:

1. What are vertically opposite angles?
2. How can you find complementary angles in a diagram?
3. What are supplementary angles?
4. Can two adjacent angles ever be supplementary?
5. How do intersecting lines affect angle relationships?

Tip: Adjacent angles always share a vertex and a side but never overlap.