Question

hj and km are parallel lines. which angles are alternate exterior angles? ∠jig and ∠jil ∠jig and ∠hil ∠jig and ∠kln ∠jig and ∠hig

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are formed when a transversal intersects two parallel lines. They are outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• $\angle JIG$ and $\angle JIL$ are adjacent angles.
• $\angle JIG$ and $\angle HIL$ are vertical angles.
• $\angle JIG$ and $\angle KLN$: $\angle JIG$ and $\angle KLN$ are outside the parallel lines $\overleftrightarrow{HJ}$ and $\overleftrightarrow{KM}$ and on opposite sides of the transversal $\overleftrightarrow{GN}$, so they are alternate - exterior angles.
• $\angle JIG$ and $\angle HIG$ are adjacent angles.

Answer:

$\angle JIG$ and $\angle KLN$