Question

jl and mo are parallel lines.
select all the pairs of vertical angles.
∠mnk and ∠onp ∠lki and ∠jkn
∠onk and ∠mnp ∠jki and ∠lkn

Explanation:

Step1: Recall Vertical Angles Definition

Vertical angles are opposite angles formed by two intersecting lines, and they are equal.

Step2: Analyze Each Pair

• For \( \angle MNK \) and \( \angle ONP \): Lines \( MO \) and \( IP \) intersect at \( N \), so these are vertical angles.
• For \( \angle LKI \) and \( \angle JKN \): Lines \( JL \) and \( IP \) intersect at \( K \), so these are vertical angles.
• For \( \angle ONK \) and \( \angle MNP \): Lines \( MO \) and \( IP \) intersect at \( N \), so these are vertical angles.
• For \( \angle JKI \) and \( \angle LKN \): Lines \( JL \) and \( IP \) intersect at \( K \), so these are vertical angles.

All given pairs are vertical angles as they meet the definition (opposite angles from intersecting lines).

Answer:

The correct pairs of vertical angles are:
\( \angle MNK \) and \( \angle ONP \),
\( \angle LKI \) and \( \angle JKN \),
\( \angle ONK \) and \( \angle MNP \),
\( \angle JKI \) and \( \angle LKN \)