Question

gi and jl are parallel lines. which angles are corresponding angles? ∠lkh and ∠ihk ∠lkh and ∠ihf ∠lkh and ∠jkm ∠lkh and ∠lkm

Explanation:

Step1: Recall definition of corresponding angles

Corresponding angles are in the same relative position with respect to the parallel - lines and the transversal.

Step2: Analyze each option

• $\angle LKH$ and $\angle IHK$ are alternate - interior angles.
• $\angle LKH$ and $\angle IHF$: $\angle LKH$ and $\angle IHF$ are corresponding angles. When two parallel lines ($\overleftrightarrow{GI}$ and $\overleftrightarrow{JL}$) are cut by a transversal ($\overleftrightarrow{FM}$), $\angle LKH$ and $\angle IHF$ are in the same relative position (both above the parallel lines and on the same side of the transversal).
• $\angle LKH$ and $\angle JKM$ are vertical angles.
• $\angle LKH$ and $\angle LKM$ are adjacent angles.

Answer:

$\angle LKH$ and $\angle IHF$