Question

select all the pairs of alternate exterior angles.
∠nmj and ∠nmo
∠nmo and ∠ijh
∠nmo and ∠kjm
∠lmj and ∠nmo

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate exterior angles are two non - adjacent exterior angles on opposite sides of a transversal.

Step2: Analyze each pair

• For $\angle NMJ$ and $\angle NMO$, they are not alternate exterior angles as they are adjacent.
• For $\angle NMO$ and $\angle IJH$, they are non - adjacent exterior angles on opposite sides of the transversal, so they are alternate exterior angles.
• For $\angle NMO$ and $\angle KJM$, they are non - adjacent exterior angles on opposite sides of the transversal, so they are alternate exterior angles.
• For $\angle LMJ$ and $\angle NMO$, they are non - adjacent exterior angles on opposite sides of the transversal, so they are alternate exterior angles.

Answer:

$\angle NMO$ and $\angle IJH$, $\angle NMO$ and $\angle KJM$, $\angle LMJ$ and $\angle NMO$