Given:
Pairs of angles in options.
To find:
The angles that form a linear pair.
Solution:
Linear pair: Two angles are called linear pair if they are lie on the same side of a straight line and their sum is 180 degrees.
In the given figure, we have two straight lines MO and NP.
Linear pairs for line MO are
[tex]\angle MRN[/tex] and [tex]\angle NRO[/tex]
[tex]\angle MRP[/tex] and [tex]\angle ORP[/tex]
[tex]\angle LRM[/tex] and [tex]\angle LRO[/tex]
Linear pairs for line NP are
[tex]\angle ORP[/tex] and [tex]\angle NRO[/tex]
[tex]\angle MRP[/tex] and [tex]\angle MRN[/tex]
[tex]\angle PRL[/tex] and [tex]\angle LRN[/tex]
So, pairs of angles in options A, B and D are not linear because they are not lie on the same side of a straight line.
Therefore, the correct option is C.
