The postulate that can be used for each case is
7. SAS
6. AAS
What is SAS congruence theorem
SAS Congruence Theorem states that if two triangles have two sides and the included angle of one equal to the corresponding two sides and included angle of the other, then the triangles are congruent.
This is used together with alternate interior angles being equal
AAS is a congruence theorem in geometry. It states that if two triangles have two angles and a non-included side that are equal, then the triangles are congruent.
This is used knowing that vertical angles are equal