Question

which angles are consecutive interior angles?
∠kln and ∠hil ∠hil and ∠kli
∠hil and ∠mln ∠hil and ∠jil

Explanation:

Step1: Recall the definition of consecutive interior angles

Consecutive interior angles are two interior angles on the same side of the transversal.

Step2: Analyze each option

• For $\angle KLN$ and $\angle HIL$: $\angle KLN$ is not an interior angle between the relevant parallel - like lines (assuming $HJ$ and $KM$ are parallel - like lines cut by transversal $GN$).
• For $\angle HIL$ and $\angle KLI$: $\angle HIL$ and $\angle KLI$ are two interior angles on the same side of the transversal $GN$ (assuming $HJ$ and $KM$ are parallel - like lines).
• For $\angle HIL$ and $\angle MLN$: $\angle MLN$ is not an interior angle in the pair with $\angle HIL$ for the relevant "parallel - like" lines.
• For $\angle HIL$ and $\angle JIL$: $\angle JIL$ and $\angle HIL$ are adjacent angles, not consecutive interior angles.

Answer:

$\angle HIL$ and $\angle KLI$