Question

ik and ln are parallel lines.
which angles are adjacent angles?
∠lmo and ∠nmj ∠nmo and ∠lmj
∠nmo and ∠lmo ∠ijm and ∠nmj

Explanation:

Adjacent angles share a common side and vertex, and their non - common sides form a linear pair (or are adjacent rays). Let's analyze each option:

• For $\angle LMO$ and $\angle NMJ$: They do not share a common side or vertex in a way that makes them adjacent.
• For $\angle NMO$ and $\angle LMJ$: They do not share a common side or vertex in the correct adjacent - angle - forming way.
• For $\angle NMO$ and $\angle LMO$: They share the common side $MO$ and the common vertex $M$, and their non - common sides $NM$ and $LM$ are opposite rays (since $LN$ is a straight line). So they are adjacent angles.
• For $\angle IJM$ and $\angle NMJ$: They do not share a common side or vertex in the adjacent - angle - forming way.

Answer:

$\angle NMO$ and $\angle LMO$