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

1 answer

The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees. This, combined with the given non-included angle and a side of the triangle (from the Angle-Angle-Side or AAS congruence condition), allows us to deduce the measures of all angles and sides in the triangle, thereby proving the congruence of the triangles involved.