Question

which angles are consecutive interior angles? ∠nmj and ∠kjh, ∠lmo and ∠kjm, ∠kjm and ∠nmj, ∠lmo and ∠nmo

Explanation:

Step1: Recall definition of consecutive - interior angles

Consecutive - interior angles are two angles that lie between two lines and on the same side of a transversal.

Step2: Analyze each option

• For $\angle NMJ$ and $\angle KJH$, $\angle NMJ$ is between $LN$ and $IK$, $\angle KJH$ is not between the two lines $LN$ and $IK$ with respect to transversal $HO$, so they are not consecutive - interior angles.
• For $\angle LMO$ and $\angle KJM$, $\angle LMO$ is below $LN$, $\angle KJM$ is above $IK$, they are on different sides of the transversal $HO$, so they are not consecutive - interior angles.
• For $\angle KJM$ and $\angle NMJ$, they are between the lines $IK$ and $LN$ and on the same side of the transversal $HO$, so they are consecutive - interior angles.
• For $\angle LMO$ and $\angle NMO$, they share a common side $MO$ and are adjacent angles, not consecutive - interior angles.

Answer:

$\angle KJM$ and $\angle NMJ$