We need to select the correct option for triangles LNM and PNO.
Notice that the horizontal lines are both marked with an arrow. This means they are parallel lines.
Also, when a pair of parallel lines are crossed by a transversal, the alternate internal angles formed are congruent. Thus, we have:
[tex]m\angle L=m\angle P[/tex]
And vertically opposite angles are congruent. Thus:
[tex]m\angle L\hat{N}M=m\angle P\hat{N}O[/tex]
Therefore, the triangles are similar, since they have two congruent angles.
Answer
