Step-by-step explanation
We can see in the question that:
• Angle, A is congruent to angle X.
,
• Side, AB is congruent to side XY.
,
• Angle, B is congruent to angle Y.
The Angle-Side-Angle postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
As we can see, the given triangles satisfy the above postulate. Thus, the triangles are congruent by the ASA postulate.
Answer
The triangles are congruent by the ASA postulate.