Question

select all the pairs of alternate interior angles.
∠hig and ∠kln
∠hil and ∠mli
∠mli and ∠mln
∠jil and ∠hig

Explanation:

Step1: Recall definition

Alternate - interior angles are pairs of angles on the inner side of two lines but on opposite sides of a transversal.

Step2: Analyze pairs

• For $\angle HIG$ and $\angle KLN$: They are on the inner - side of the two intersecting sets of lines and on opposite sides of the transversal, so they are alternate - interior angles.
• For $\angle HIL$ and $\angle MLI$: They are on the inner - side of the two lines and on opposite sides of the transversal, so they are alternate - interior angles.
• For $\angle MLI$ and $\angle MLN$: $\angle MLN$ is not in the correct position relative to $\angle MLI$ to be an alternate - interior angle pair. They are adjacent angles.
• For $\angle JIL$ and $\angle HIG$: They are on the inner - side of the two lines and on opposite sides of the transversal, so they are alternate - interior angles.

Answer:

$\angle HIG$ and $\angle KLN$, $\angle HIL$ and $\angle MLI$, $\angle JIL$ and $\angle HIG$