If two angles and a nonincluded side of one triangle are congruent to the corresponding two angles and side of another then the triangles are congruent?

If two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another triangle, the triangles are congruent by the Angle-Angle-Side (AAS) theorem. This theorem states that if two angles and a corresponding side of one triangle are equal to two angles and the corresponding side of another triangle, then the two triangles are congruent. Thus, the triangles will have the same shape and size.