Question

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

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 $\angle LKN$, they are not formed by the same two - line intersection.
• For $\angle JKI$ and $\angle LKI$, they share a common side and are adjacent angles, not vertical angles.
• For $\angle JKI$ and $\angle LKN$, when the two lines $JL$ and $MP$ intersect at point $K$ and $N$, $\angle JKI$ and $\angle LKN$ are opposite each other at the intersection of the two lines, so they are vertical angles.
• For $\angle JKI$ and $\angle JKN$, they are adjacent angles as they share a common side.

Answer:

$\angle JKI$ and $\angle LKN$