The AA Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. To prove triangle LMN ~ triangle VTU using the AA Similarity Theorem, you would focus on showing that two pairs of corresponding angles are congruent.
Among the options you provided, the correct approach is:
c. Show ∠L ≅ ∠V and ∠M ≅ ∠U
By demonstrating that these angles are congruent, you would satisfy the criteria of the AA Similarity Theorem, leading to the conclusion that triangle LMN is similar to triangle VTU (LMN ~ VTU).