Question

ik and ln are parallel lines. which angles are corresponding angles? ∠lmo and ∠lmj ∠lmo and ∠nmj ∠nmo and ∠lmo ∠kjm and ∠nmo

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are pairs of angles that are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each option

• For $\angle LMO$ and $\angle LMJ$: These are adjacent angles, not corresponding.
• For $\angle LMO$ and $\angle NMJ$: These are not in the same relative position.
• For $\angle NMO$ and $\angle LMO$: These are adjacent angles, not corresponding.
• For $\angle KJM$ and $\angle NMO$: Since $\overleftrightarrow{IK}$ and $\overleftrightarrow{LN}$ are parallel and $\overleftrightarrow{HO}$ is a transversal, $\angle KJM$ and $\angle NMO$ are in the same relative position (both are on the same side of the transversal and in corresponding positions relative to the parallel lines).

Answer:

$\angle KJM$ and $\angle NMO$