The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees; when two angles and a non-included side of one triangle are shown to be congruent to two angles and the corresponding non-included side of another triangle, it implies that the third angles must also be congruent, thereby satisfying the AAS (Angle-Angle-Side) condition for triangle congruence. This guarantees that the two triangles are congruent based on their corresponding sides and angles.
In 1-2 sentences, explain how the Triangle Angle Sum Theorem helps prove AAS congruence.
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