Question

which angles are alternate interior angles? ∠ihk and ∠jkm ∠ghk and ∠lkh ∠jkm and ∠ghf ∠ghf and ∠ghk

Explanation:

Step1: Recall alternate - interior angles definition

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

Step2: Analyze each option

• For $\angle IHK$ and $\angle JKM$, they are not in the correct position relative to the parallel lines and transversal for alternate - interior angles.
• For $\angle GHK$ and $\angle LKH$, they are between the parallel lines $JL$ and $GI$ and on opposite sides of the transversal $MF$. So they are alternate - interior angles.
• For $\angle JKM$ and $\angle GHF$, they are not alternate - interior angles.
• For $\angle GHF$ and $\angle GHK$, they are adjacent angles, not alternate - interior angles.

Answer:

$\angle GHK$ and $\angle LKH$