is △mnl≅△qnl? why or why not?\nyes, they are congruent by either asa or aas.\nyes, they are both right…

is △mnl≅△qnl? why or why not?\nyes, they are congruent by either asa or aas.\nyes, they are both right triangles.\nno, ∠m is not congruent to ∠nlq.\nno, there are no congruent sides.

is △mnl≅△qnl? why or why not?\nyes, they are congruent by either asa or aas.\nyes, they are both right triangles.\nno, ∠m is not congruent to ∠nlq.\nno, there are no congruent sides.

Answer

Explanation:

Step1: Find angle MLN

In right - triangle MNL, since one angle is 90° and ∠M = 58°, then ∠MLN=180° - 90° - 58° = 32°.

Step2: Analyze congruence criteria

In △MNL and △QNL, we have ∠MNL = ∠QNL = 90° (common side), NL = NL (common side), and ∠MLN=∠QLN = 32°. This satisfies the ASA (Angle - Side - Angle) congruence criterion. Also, since we know two angles and a non - included side (the common side NL), it also satisfies AAS (Angle - Angle - Side) congruence criterion.

Answer:

Yes, they are congruent by either ASA or AAS.