Question

which angles are adjacent angles?\
\
image of intersecting lines with points i, k, l, j, m, n, o, p\
\
$\angle mnk$ and $\angle onp$\
$\angle onk$ and $\angle lkn$\
$\angle lkn$ and $\angle lki$\
$\angle mnk$ and $\angle jkn$

Explanation:

Step1: Recall Adjacent Angles Definition

Adjacent angles share a common side and a common vertex, and their non - common sides are on opposite sides of the common side.

Step2: Analyze Each Option

• For $\angle MNK$ and $\angle ONP$: They are vertical angles (opposite angles formed by intersecting lines), not adjacent.
• For $\angle ONK$ and $\angle LKN$: They do not share a common side or vertex in a way that satisfies adjacent angle definition.
• For $\angle LKN$ and $\angle LKI$: They share a common vertex $K$ and a common side $KL$. Their non - common sides $KN$ and $KI$ are on opposite sides of $KL$. So they are adjacent.
• For $\angle MNK$ and $\angle JKN$: They do not share a common side or vertex in a way that satisfies adjacent angle definition.

Answer:

$\angle LKN$ and $\angle LKI$