Can someone help? I think I got the first part of the answer, not sure.

To find:
The other two ways to name ∠w.
Solution:
Angle can be named in different ways.
Point on rays of w are T and S and vertex is A.
Name of ∠w are ∠TAS, ∠SAT.
Therefore ∠TAS, ∠SAT are other two ways to name ∠w.