Question

which angles are alternate exterior angles? ∠lkn and ∠jkn ∠lki and ∠onp ∠jkn and ∠mnp ∠mnp and ∠lki

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate exterior angles are non - adjacent angles that lie outside two lines and on opposite sides of a transversal.

Step2: Analyze each option

For $\angle LKN$ and $\angle JKN$, they are adjacent angles, not alternate exterior angles. For $\angle LKI$ and $\angle ONP$, $\angle LKI$ is outside the lines $JL$ and $MO$ and $\angle ONP$ is also outside these lines and they are on opposite sides of the transversal $PI$. For $\angle JKN$ and $\angle MNP$, they are not in the correct position relative to the lines and transversal for alternate exterior angles. For $\angle MNP$ and $\angle LKI$, they are not alternate exterior angles.

Answer:

$\angle LKI$ and $\angle ONP$