Question

which angles are alternate interior angles? ∠lkn and ∠mnp ∠lkn and ∠lki ∠lkn and ∠jki ∠lkn and ∠mnk

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are formed when a transversal intersects two parallel lines. They are non - adjacent angles that lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle LKN$ and $\angle MNP$, they are not alternate - interior angles as they are not between the relevant parallel - like line segments in the correct way.
• For $\angle LKN$ and $\angle LKI$, $\angle LKI$ is not an interior angle between the two lines cut by the transversal in the context of alternate - interior angles.
• For $\angle LKN$ and $\angle JKI$, $\angle JKI$ is not an interior angle between the two lines cut by the transversal for the purpose of alternate - interior angles.
• For $\angle LKN$ and $\angle MNK$, they are non - adjacent, lie between the lines $JL$ and $MO$ and on opposite sides of the transversal $IP$.

Answer:

$\angle LKN$ and $\angle MNK$