Question

which angles are alternate exterior angles?
∠ihk and ∠lkm ∠ghf and ∠lkh
∠jkm and ∠ihf ∠jkh and ∠ihk

Explanation:

Step1: Recall the definition of alternate exterior angles

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

Step2: Analyze each option

• For $\angle IHK$ and $\angle LKM$:

$\angle IHK$ is formed by lines $GI$ and $MF$, $\angle LKM$ is formed by lines $JL$ and $MF$. They lie outside the two lines ($JL$ and $GI$) and on opposite sides of the transversal $MF$.

• For $\angle GHF$ and $\angle LKH$: $\angle GHF$ is not in the correct position relative to $\angle LKH$ to be alternate exterior angles.
• For $\angle JKM$ and $\angle IHF$: $\angle JKM$ and $\angle IHF$ do not meet the criteria of alternate exterior angles.
• For $\angle JKH$ and $\angle IHK$: $\angle JKH$ and $\angle IHK$ are adjacent angles, not alternate exterior angles.

Answer:

$\angle IHK$ and $\angle LKM$