Question

x and mo are parallel lines. which angles are corresponding angles? ∠mnk and ∠mki ∠mnp and ∠lki ∠onk and ∠mnp ∠jkn and ∠mnp

Explanation:

Corresponding angles are pairs of angles that are in the same relative position with respect to the parallel lines and the transversal.

• $\angle MNP$ and $\angle LKI$: $\angle MNP$ is at the intersection of line $PO$ (assuming $PO$ is part of the parallel - line setup, likely a typo for $MO$) and transversal $PI$, and $\angle LKI$ is at the intersection of line $JL$ and transversal $PI$ in the same relative position.
• $\angle MNK$ and $\angle MK I$: Incorrect, as their positions are not corresponding.
• $\angle ONK$ and $\angle MNP$: These are adjacent angles, not corresponding.
• $\angle JKN$ and $\angle MNP$: These are vertical - like or alternate - interior - like (depending on exact line names, but not in corresponding positions).

Answer:

$\angle MNP$ and $\angle LKI$