Question

which angles form a linear pair?
∠prl and ∠lrm
∠orp and ∠mrn
∠mrn and ∠nro
∠lrp and ∠orp

Explanation:

Step1: Recall linear - pair definition

Two angles form a linear pair if they are adjacent (share a common side and a common vertex) and their non - common sides form a straight line.

Step2: Analyze each option

• For $\angle PRL$ and $\angle LRM$, they are adjacent but their non - common sides do not form a straight line.
• For $\angle ORP$ and $\angle MRN$, they are not adjacent.
• For $\angle MRN$ and $\angle NRO$, they are adjacent and their non - common sides ($\overrightarrow{RM}$ and $\overrightarrow{RO}$) form a straight line $\overleftrightarrow{MO}$.
• For $\angle LRP$ and $\angle ORP$, they are not adjacent.

Answer:

$\angle MRN$ and $\angle NRO$