Question

which angles are corresponding angles? ∠ijm and ∠lmj ∠kjh and ∠ijh ∠ijm and ∠lmo ∠nmo and ∠kjh

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Analyze each option

• $\angle IJM$ and $\angle LMJ$ are alternate - interior angles.
• $\angle KJH$ and $\angle IJH$ are adjacent angles.
• $\angle IJM$ and $\angle LMO$: $\angle IJM$ and $\angle LMO$ are corresponding angles. They are in the same relative position with respect to the transversal $HO$ and the parallel lines $IK$ and $LN$.
• $\angle NMO$ and $\angle KJH$ have no special angle - relationship.

Answer:

$\angle IJM$ and $\angle LMO$