Question

ik and ln are parallel lines. which angles are alternate exterior angles? ∠kjh and ∠nmj ∠nmj and ∠nmo ∠ijh and ∠nmo ∠kjh and ∠nmo

Explanation:

Step1: Recall alternate exterior angles definition

Alternate exterior angles are non - adjacent angles formed by two parallel lines and a transversal, lying outside the parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle KJH$ and $\angle NMJ$: $\angle KJH$ is formed by line $IK$ and transversal $HO$, $\angle NMJ$ is formed by line $LN$ and transversal $HO$. But they do not satisfy the alternate exterior angles condition as their positions are not correct for alternate exterior angles.
• For $\angle NMJ$ and $\angle NMO$: These two angles are adjacent, so they are not alternate exterior angles.
• For $\angle IJH$ and $\angle NMO$: $\angle IJH$ is formed by line $IK$ and transversal $HO$, $\angle NMO$ is formed by line $LN$ and transversal $HO$. They are not in the correct position for alternate exterior angles.
• For $\angle KJH$ and $\angle NMO$: $\overleftrightarrow{IK}\parallel\overleftrightarrow{LN}$, transversal is $HO$. $\angle KJH$ and $\angle NMO$ are non - adjacent, lie outside $\overleftrightarrow{IK}$ and $\overleftrightarrow{LN}$ and on opposite sides of the transversal $HO$.

Answer:

$\angle KJH$ and $\angle NMO$