Question

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

Answer 1

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees, which allows us to determine the measure of an unknown angle when two angles are known. In AAS (Angle-Angle-Side) congruence, knowing two angles and a non-included side ensures that the third angle is also determined, confirming that two triangles are congruent by the AA criterion, thus supporting the AAS criterion for triangle congruence.