Question

are the triangles congruent? why or why not? yes, all the angles of each of the triangles are acute. no, ∠b is not congruent to ∠q. no, the congruent sides do not correspond. yes, they are congruent by either asa or aas.

Explanation:

In triangle ABC, angles are 42° (A), 53° (B), 85° (C). In triangle RQM, angles are 42° (R), 85° (Q), 53° (M). A marked congruent side (red line) exists between corresponding angles. By ASA (two angles and included side) or AAS (two angles and non-included side), the triangles are congruent.

Answer:

Yes, they are congruent by either ASA or AAS.