It is no more nor less important than any other theorem for congruence.
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RHS congruency, or, right angle, hypotenuse and corresponding side.
There are three main ways to prove to triangles congruent. If all the sides match, if a side then an included angle and the next side and last angle-side angle. SSS, SAS. ASA
Angle side angle congruence postulate. The side has to be in the middle of the two angles
Any two angles of a triangle determine the third angle. As a result, the side angle angle theorem is equivalent to the angle side angle theorem.
First of all, it's a theorem, not a postulate. It says: Two triangles are congruent if they have two angles and the included side of one equal respectively to two angles and the included side of the other.