Question

→gi and →jl are parallel lines.
which angles are alternate exterior angles?
∠lkm and ∠lkh
∠ihf and ∠lkm
∠ghf and ∠ihf
∠lkm and ∠ghf

Explanation:

Alternate exterior angles lie outside the two parallel lines, on opposite sides of the transversal.

1. For $\angle LKM$ and $\angle LKH$: They share a side and are adjacent, not alternate exterior.
2. For $\angle IHF$ and $\angle LKM$: $\angle IHF$ is inside the parallel lines, so not exterior.
3. For $\angle GHF$ and $\angle IHF$: They are adjacent supplementary angles on the same line, not alternate exterior.
4. For $\angle LKM$ and $\angle GHF$: Both lie outside the parallel lines $GI$ and $JL$, on opposite sides of transversal $FM$, fitting the definition.

Answer:

$\angle LKM$ and $\angle GHF$