Question

Is ABC~LMN?If so, name which similarity postulate or theorem applies.

Answer 1

(A) Similar- AA

Explanation:

Given: ΔABC is similar to ΔLMN

To find: Similarity postulate

Solution:

Two triangles are similar either by two angles or by one angle or two sides or by two angles and one side.

In this question it is given that two angles are equal, thus

In ΔABC and ΔLMN, we have

∠A=∠L=50° (Given)

∠B=∠M=75°(Given)

Thus, by AA similarity postulate,

ΔABC is similar to ΔLMN.

Hence, both the given triangles are similar by the option A postulate that is AA similarity postulate.

Answer 2

The answer is variant A.
Because:
if the two angles of a triangle are congruent to two angles of the other triangle , this triangles are similar