Question

gt and jl are parallel lines. which angles are alternate exterior angles? ∠ghf and ∠ihf ∠ghf and ∠ghk ∠ghf and ∠lkm ∠ghf and ∠ihk

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent exterior angles that lie on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle GHF$ and $\angle IHF$: These are adjacent angles, not alternate exterior angles.
• For $\angle GHF$ and $\angle GHK$: These are not exterior angles in the context of the parallel lines $\overline{JL}$ and $\overline{GI}$ cut by transversal $\overline{MF}$.
• For $\angle GHF$ and $\angle LKM$:
• $\overline{JL}\parallel\overline{GI}$ and $\overline{MF}$ is the transversal.
• $\angle GHF$ is an exterior angle at line $\overline{GI}$ and $\angle LKM$ is an exterior angle at line $\overline{JL}$, and they lie on opposite sides of the transversal $\overline{MF}$.
• For $\angle GHF$ and $\angle IHK$: These are not in the alternate exterior angle relationship.

Answer:

$\angle GHF$ and $\angle LKM$