Use the given information to determine which of the following relationships can be proved and why?

Answer: A. Δ LMN ≅ ΔOPQ because of AAS.
Step-by-step explanation:
In the given picture, we have two triangles Δ LMN and ΔOPQ.
Also it is given that in Δ LMN and ΔOPQ.
[tex]\angle{L}=\angle{O}[/tex]
[tex]\angle{M}=\angle{P}[/tex]
[tex]\overline{LN}=\overline{OQ}[/tex]
So by AAS theorem, we have
Δ LMN ≅ ΔOPQ.