in triangles abc and lmn, ∠a ≅ ∠l, ∠b ≅ ∠m, and ∠c ≅ ∠n. is this information sufficient to prove triangles abc and lmn congruent through asa

No

Step-by-step explanation:

To prove that two triangles are through ASA

ASA=Angle, Side, Angle

Therefore, a side must be congruent in both triangles.

However in triangles ABC and LMN

∠A ≅ ∠L, ∠B ≅ ∠M, and ∠C ≅ ∠N.

These are all angles. No congruent sides are given.

Therefore this information is not sufficient to prove triangles ABC and LMN are congruent by ASA.