The Angle-Angle-Side (AAS) Congruence Theorem can be proven using two main reasons: first, if two angles of one triangle are congruent to two angles of another triangle, the third angles must also be congruent due to the triangle sum theorem. Second, with an included side between these two angles, the two triangles can be shown to be congruent using the Side-Angle-Side (SAS) criterion, as both triangles share the same side and have two pairs of congruent angles.
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