Question

which angles are vertical angles? ∠mnp and ∠jkn ∠mnk and ∠lki ∠jki and ∠jkn ∠jki and ∠lkn

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• For $\angle MNP$ and $\angle JKN$, they are not vertical angles as they are not formed by the intersection of the same two - line pairs.
• For $\angle MNK$ and $\angle LKI$, they are not vertical angles.
• For $\angle JKI$ and $\angle JKN$, they share a common side and are adjacent angles, not vertical angles.
• For $\angle JKI$ and $\angle LKN$, they are vertical angles because they are formed by the intersection of lines $JL$ and $IP$, and they are opposite each other.

Answer:

$\angle JKI$ and $\angle LKN$