Question

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

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Analyze each option

• $\angle MNK$ and $\angle ONK$ are adjacent angles that form a linear - pair, not corresponding angles.
• $\angle MNK$ and $\angle LKI$: $\angle MNK$ and $\angle LKI$ are corresponding angles. They are in the same relative position with respect to the parallel lines $\overleftrightarrow{JL}$ and $\overleftrightarrow{MO}$ and the transversal $\overleftrightarrow{IP}$.
• $\angle MNK$ and $\angle JKI$ are not corresponding angles.
• $\angle MNK$ and $\angle ONP$ are vertical angles, not corresponding angles.

Answer:

$\angle MNK$ and $\angle LKI$