In 1–2 sentences, explain how the Triangle Angle Sum Theorem helps prove AAS congruence. please

1 answer

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is 180 degrees, which, when combined with the attribute of two angles and a non-included side being congruent (AAS), allows us to conclude that the third angle must also be congruent, thereby proving the triangles are congruent. This reinforces that if two angles and a non-included side of one triangle are equal to the corresponding two angles and non-included side of another triangle, the triangles are congruent by AAS.