Question

which angles are adjacent angles?
∠lmk and ∠nmp ∠lmk and ∠qpm
∠lmk and ∠opr ∠lmk and ∠nmk

Explanation:

Step1: Recall adjacent angles definition

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

Step2: Analyze each option

• For $\angle LMK$ and $\angle NMP$: They do not share a common side, so they are not adjacent.
• For $\angle LMK$ and $\angle QPM$: They do not share a common vertex or a common side, so they are not adjacent.
• For $\angle LMK$ and $\angle OPR$: They do not share a common vertex or a common side, so they are not adjacent.
• For $\angle LMK$ and $\angle NMK$: They share the common vertex $M$ and the common side $MK$. The non - common sides $LM$ and $NM$ are on a straight line (opposite sides of $MK$), so they satisfy the definition of adjacent angles.

Answer:

$\angle LMK$ and $\angle NMK$