Python 2.7, 73 Bytes
from math import* f=lambda A,B:degrees(atan2(B[1],B[0])-atan2(A[1],A[0])) Test:
f((5,5),(5,-5)) #-90.0 f((5,-5),(5,5)) #90.0 
hennyk
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from math import* f=lambda A,B:degrees(atan2(B[1],B[0])-atan2(A[1],A[0])) Test:
f((5,5),(5,-5)) #-90.0 f((5,-5),(5,5)) #90.0