In option D, the lengths in triangles are proportional, establishing similarity. This implies that ∠PNM = ∠PRQ.
In option D, the ratios of sides labeled in triangles PNM and PRQ are proportional. This implies that angles ∠PNM and ∠PRQ are congruent. The proportional lengths in the triangles, as indicated in the diagram, establish a similarity relationship.
The sides' proportions confirm that the triangles are similar, and the corresponding angles are equal.
Therefore, option D is the correct choice, illustrating the geometric concept that when corresponding sides are in proportion, the corresponding angles are equal, ensuring ∠PNM = ∠PRQ.