Question

ik and ln are parallel lines. which angles are alternate interior angles? ∠lmo and ∠lmj, ∠lmo and ∠kjh, ∠ijm and ∠nmo, ∠ijm and ∠nmj

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 $\angle LMO$ and $\angle LMJ$, they are adjacent angles, not alternate - interior.
• For $\angle LMO$ and $\angle KJH$, they are not between the two parallel lines $\overleftrightarrow{IK}$ and $\overleftrightarrow{LN}$.
• For $\angle IJM$ and $\angle NMO$, they are not between the two parallel lines $\overleftrightarrow{IK}$ and $\overleftrightarrow{LN}$.
• For $\angle IJM$ and $\angle NMJ$, they are non - adjacent, lie between the parallel lines $\overleftrightarrow{IK}$ and $\overleftrightarrow{LN}$, and are on opposite sides of the transversal $\overleftrightarrow{HO}$.

Answer:

$\angle IJM$ and $\angle NMJ$