Is ABC~LMN?If so, name which similarity postulate or theorem applies.
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Answer:
(A) Similar- AA
Step-by-step 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.