Question

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

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 $\angle HIL$ and $\angle KLI$, they lie between lines $\overleftrightarrow{KH}$ and $\overleftrightarrow{MJ}$ and on the same side of transversal $\overleftrightarrow{LN}$.
For $\angle HIL$ and $\angle JIL$, they are adjacent angles, not consecutive - interior angles.
For $\angle HIL$ and $\angle MLN$, they are not in the correct position relationship for consecutive - interior angles.
For $\angle HIL$ and $\angle HIG$, they are not consecutive - interior angles.

Answer:

$\angle HIL$ and $\angle KLI$