Question

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

Explanation:

To determine corresponding angles, we use the definition: when two parallel lines are cut by a transversal, corresponding angles are in the same relative position at each intersection. Here, \( JL \parallel MO \) and transversal is \( IP \).

• \( \angle MNK \) is at \( N \) (below transversal, left of \( MO \)).
• \( \angle JKN \): At \( K \), below transversal, left of \( JL \) – same relative position.
• \( \angle LKN \): At \( K \), above transversal (opposite position).
• \( \angle JKI \): At \( K \), above transversal (different position).
• \( \angle ONK \): Vertical angle or adjacent, not corresponding.

Thus, \( \angle MNK \) and \( \angle JKN \) match the corresponding angles’ position.

Answer:

\(\boldsymbol{\angle MNK}\) and \(\boldsymbol{\angle JKN}\)