Question

jl and mo are parallel lines.
which angles are corresponding angles?
∠lki and ∠onk
∠jki and ∠mnp
∠onp and ∠mnk
∠lkn and ∠lki

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each option

• For $\angle LKI$ and $\angle ONK$:
• Since $\overleftrightarrow{JL}\parallel\overleftrightarrow{MO}$ and $\overleftrightarrow{PI}$ is a transversal.
• $\angle LKI$ and $\angle ONK$ are in the same relative position (both are on the same - side of the transversal and in corresponding positions relative to the parallel lines).
• For $\angle JKI$ and $\angle MNP$: Their positions do not match the definition of corresponding angles.
• For $\angle ONP$ and $\angle MNK$: Their positions do not match the definition of corresponding angles.
• For $\angle LKN$ and $\angle LKI$: These are adjacent angles, not corresponding angles.

Answer:

$\angle LKI$ and $\angle ONK$