Question

hj and km are parallel lines. which angles are alternate exterior angles? ∠hig and ∠kln ∠hig and ∠kli ∠hig and ∠mln ∠hig and ∠mli

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are two non - adjacent exterior angles on opposite sides of a transversal intersecting two parallel lines.

Step2: Analyze each option

For $\angle HIG$ and $\angle KLN$:

• $\angle HIG$ and $\angle KLN$ are non - adjacent exterior angles on opposite sides of the transversal $NG$ intersecting parallel lines $\overleftrightarrow{HJ}$ and $\overleftrightarrow{KM}$.

For $\angle HIG$ and $\angle KLI$: $\angle KLI$ is an interior angle, so this pair is not alternate - exterior.
For $\angle HIG$ and $\angle MLN$: $\angle MLN$ is an interior angle, so this pair is not alternate - exterior.
For $\angle HIG$ and $\angle MLI$: $\angle MLI$ is an interior angle, so this pair is not alternate - exterior.

Answer:

$\angle HIG$ and $\angle KLN$