Question

Is triangle MNL congruent to triangle QNL? Why or why not? Yes, they are congruent by either ASA or AAS. Yes, they are both right triangles. No, angle M is not congruent to angle NLQ. No, there are no congruent sides.

Answer 1

See the attached figure which represent the rest of the question.
The rest of the question is the attached figure.
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As shown in the attached figure:
(1) ΔMNL is a right triangle at ∠MNL and ∠NML = 58°
∴ ∠L = 180° - (90°+58°) = 32°

(2) ΔQNL is a right triangle at ∠QNL and ∠QLN = 32°
∴ ∠Q = 180° - (90°+32°) = 58°

So, for both of ΔMNL and ΔQNL
1.  ∠NLM = ∠ NLQ = 32°
2.  ∠Q = ∠M = 58°
3.  side NL = side NL
∴ ΔMNL is congruent to ΔQNL by AAS

=======OR=======

So, for both of ΔMNL and ΔQNL
1.  ∠MNL = ∠QNL  = 90°
2.  side NL = side NL
3.  ∠NLM = ∠ NLQ = 32°
∴ ΔMNL is congruent to ΔQNL by ASA

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So, the correct answer is the first option

Yes, they are congruent by either ASA or AAS

Answer 2

Answer:

Its A

Step-by-step explanation:

It is