Consider the two triangles shown. Which of the triangle congruence theorems could be used to prove the triangles congruent without establishing any additional information?
In the given triangles, there are two angles such as [tex]84^{\circ}[/tex] and [tex]39^{\circ}[/tex] and one non included side as 16 cm of both triangles are equal or congruent.
Thus, by AAS postulate of congruence both the triangles are congruent without establishing any additional information.
The AAS postulate says that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.
