1. **Stating the problem:** We need to identify pairs of corresponding angles formed when two parallel lines $L\!M\!N$ and $O\!P\!Q$ are cut by a transversal $K\!M\!P\!R$. 2. **Understanding corresponding angles:** Corresponding angles are pairs of angles that lie on the same side of the transversal and in corresponding positions relative to the parallel lines. 3. **Given pairs:** - $\angle OPM$ and $\angle NMP$ - $\angle OPR$ and $\angle LMP$ - $\angle NMK$ and $\angle QPM$ - $\angle QPR$ and $\angle QPM$ 4. **Analyzing each pair:** - $\angle OPM$ and $\angle NMP$: Both are on the same side of the transversal and in corresponding positions (top-right at $P$ and top-right at $M$), so they are corresponding angles. - $\angle OPR$ and $\angle LMP$: $\angle OPR$ is at $P$ on the bottom-right, $\angle LMP$ is at $M$ on the bottom-left; these are not corresponding positions. - $\angle NMK$ and $\angle QPM$: $\angle NMK$ is at $M$ top-left, $\angle QPM$ is at $P$ bottom-left; these are not corresponding positions. - $\angle QPR$ and $\angle QPM$: Both at $P$, so cannot be corresponding angles between two different lines. 5. **Final answer:** The only pair of corresponding angles is $\boxed{\angle OPM \text{ and } \angle NMP}$.