Question

is \\( \triangle a b c \sim \triangle l m n \\) ? if so, name which similarity postulate or theorem applies.

similar - aasimilar - ssssimilar - sas

Explanation:

Step1: Recall triangle similarity criteria

The AA (Angle - Angle) similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Step2: Check angle congruence

In \(\triangle ABC\) and \(\triangle LMN\), \(\angle A = 50^{\circ}\) and \(\angle L=50^{\circ}\), \(\angle B = 75^{\circ}\) and \(\angle M = 75^{\circ}\). So two pairs of angles are congruent.

Answer:

Similar - AA