The Angle Angle Side postulate (AAS) says that if 2 angles and the non-included side one triangle are congrusteustatiushistory.orgt to two angles and the non-included side of another triangle, these two triangles are congrusteustatiushistory.orgt.

You are watching: Is mnl ≅ qnl? why or why not?

The Angle Side Angle (ASA) postulate claims that if two angles and also the had side of one triangle are congrusteustatiushistory.orgt to two angles and also the consisted of side of another triangle, the triangles are congrusteustatiushistory.orgt.

Consider 2 right triangles MNL and also QNL. Note that

1. In triangle MNL, m∠NLM=90°-m∠LMN=90°-58°=32°.

2. In triangle QNL, m∠NQL=90°-m∠QLN=90°-32°=58°.

In these triangles:

m∠MNL=m∠QNL=90° (; m∠NLM=m∠NQL=58° (proved);m∠MLN=m∠QLN=32° (proved);Side LN is common ( triangles MNL and QNL are congrusteustatiushistory.orgt by ASA (1, 3 and 4 conditions) or by AAS (2, 3 and 4 conditions).

See more: Explain Why The T-Distribution Has Less Spread As The Number Of Degrees Of Freedom Increases.

Answer: correct alternative is A

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