Question

jl and mo are parallel lines.
which angles are alternate interior angles?
∠lkn and ∠jkn ∠lkn and ∠lki
∠lkn and ∠mnk ∠lkn and ∠jki

Explanation:

Step1: Recall the definition of alternate interior angles

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

Step2: Analyze each option

• For $\angle LKN$ and $\angle JKN$: These angles are adjacent, not alternate interior angles.
• For $\angle LKN$ and $\angle LKI$: These angles are adjacent, not alternate interior angles.
• For $\angle LKN$ and $\angle MNK$: Since $\overleftrightarrow{JL}$ and $\overleftrightarrow{MO}$ are parallel and the line $PO$ is the transversal. $\angle LKN$ and $\angle MNK$ lie between the parallel lines $\overleftrightarrow{JL}$ and $\overleftrightarrow{MO}$ and on opposite sides of the transversal $PO$.
• For $\angle LKN$ and $\angle JKI$: These angles do not satisfy the alternate - interior - angle condition.

Answer:

$\angle LKN$ and $\angle MNK$