The correct choice is d. AA~ Postulate, as the figure illustrates two pairs of corresponding angles marked as equal, indicating the presence of Angle-Angle similarity, which establishes the similarity of the triangles.
The correct choice is d. AA~ Postulate, which states that if two angles in one triangle are congruent to two angles in another, the triangles are similar.
In the figure, corresponding angles are marked equal, both due to vertical opposites and explicit markings. This establishes Angle-Angle similarity, confirming that the triangles are similar.
While the figure is not drawn to scale, the postulate relies on angle relationships, making the AA~ Postulate applicable to determine the similarity of the triangles in this context.