Final answer:
A. ∠N≅∠M. To establish ASA congruence between two triangles, one pair of corresponding angles and the included side should be congruent.
Step-by-step explanation:
In order to establish ASA (Angle-Side-Angle) congruence correspondence between two triangles, the additional information needed is that one pair of corresponding angles and the included side should be congruent.
Therefore, the correct answer choice is option A. ∠N≅∠M. If angle N in triangle NOD is congruent to angle M in triangle MOA, and those angles are included between the corresponding sides OD and OA, then we have the necessary information to establish ASA congruence correspondence.