Question

gi and jl are parallel lines. which angles are alternate interior angles? ∠ghk and ∠lkh ∠ghk and ∠ghf ∠ghk and ∠lkm ∠ghk and ∠ihk

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are a pair of non - adjacent interior angles that lie on opposite sides of the transversal and between the two parallel lines.

Step2: Analyze each option

• For $\angle GHK$ and $\angle LKH$:
• The transversal is $MF$, and the parallel lines are $JL$ and $GI$.
• $\angle GHK$ and $\angle LKH$ are non - adjacent, lie between $JL$ and $GI$, and on opposite sides of the transversal $MF$.
• For $\angle GHK$ and $\angle GHF$: These are adjacent angles, not alternate interior angles.
• For $\angle GHK$ and $\angle LKM$: $\angle LKM$ is not between the two parallel lines $JL$ and $GI$.
• For $\angle GHK$ and $\angle IHK$: These are adjacent angles (they share a common vertex $H$ and a common side $HI$), not alternate interior angles.

Answer:

$\angle GHK$ and $\angle LKH$