Question

what additional information is needed to prove that the triangles are congruent using the aas congruence theorem?
lo ≅ lm
oa = ma
∠loa ≅ ∠lma
∠lao ≅ ∠lam

Explanation:

To use AAS (Angle-Angle-Side) congruence, two angles and a non-included side of one triangle must be congruent to the corresponding parts of another. Assuming a common side (e.g., LA), we need two angles. ∠LAO ≅ ∠LAM provides a second angle pair, completing AAS requirements.

Answer:

∠LAO ≅ ∠LAM