Question

are the triangles congruent? if so, how do you know? not enough information given yes, because the triangles have three congruent, corresponding angles yes, because of asa or aas yes, because all the angles of the triangles are acute

Explanation:

Step1: Recall congruence criteria

Congruent triangles require information about side - side - side (SSS), side - angle - side (SAS), angle - side - angle (ASA), angle - angle - side (AAS) or hypotenuse - leg (HL for right - angled triangles).

Step2: Analyze given information

We have two angles in each triangle and one side marked congruent, but we don't know which sides are corresponding. Just having two angles and a side is not sufficient as we don't know if the side is between the two angles (ASA) or not (AAS) and which sides match up.

Answer:

not enough information given