Answer:
∠MRN and ∠NRO is a linear pair.
Explanation:
Linear pair : A pair of adjacent angles formed by two intersecting lines is called linear pair. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
A )∠PRL and ∠LRM
According to the definition ∠PRL and ∠LRM is not linear pair .
B)∠ORP and ∠MRN
These angles are formed by the intersection of line OM and PN.
But these angles are vertical angles not adjacent.
Thus ∠ORP and ∠MRN is not a linear pair .
C) ∠MRN and ∠NRO
∠MRN and ∠NRO are formed by the two intersecting lines MO and NP.
Since they these angles are true to the definition.
Thus ∠MRN and ∠NRO is a linear pair.
D)∠LRP and ∠ORP
According to the definition ∠LRP and ∠ORP is not a linear pair .
Hence ∠MRN and ∠NRO is a linear pair.