Step-by-step explanation
Let's remember the definition of the transitive property for three angles. It says that
This is exactly what the problem is looking for.
Now, let's remember the substitution property. It says that if two objects (not necessarily angles) are congruent and one of them appears in some statement, then you can replace it with the other in that statement. This sounds weird, but think of this: If the statement is to be congruent, the substitution property says that you can replace angle 2 with angle 1 in the second congruence:
Answer
The possible reasons are transitive property and substitution property.