To prove triangles \( \triangle LMN \) and \( \triangle VTU \) are similar using the AA (Angle-Angle) similarity theorem, you need to show that two corresponding angles in the triangles are equal. The AA similarity theorem states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
Given the options provided, the correct answer would be:
b. show \( <L = <V \) and \( <M = <U \).
If you show that two angles in triangle \( LMN \) are equal to two angles in triangle \( VTU \), you can conclude that the two triangles are similar by the AA similarity theorem.