The SAS postulate is used to determine the similarities or congruence of triangles by Side-Angle-Side.
The additional information needed is AD = AB and \(\alpha = \gamma\).
From the question, (see attachment), we have the following highlights:
- Both triangles have a common side length AC.
- Two angles on both triangles are given.
So, for the triangles to be congruent by SAS, any one of the following must be true.
- AD = AB and \(\alpha = \gamma\).
- CD = CB and \(\beta = \delta\).
Read more about SAS postulate at:
https://brainly.com/question/2644126