  We describe how to calculate the amount of supersymmetry associated to a
class of supergravity theories obtained by compactification on T-folds. We
illustrate our discussion by calculating the degree of supersymmetry enjoyed by
a particular set of massive supergravities which have been obtained in the
literature by compactifying type II supergravity on such backgrounds. Our
discussion involves a modification of the usual arguments, based upon
G-structures, for the amount of supersymmetry preserved by geometric
compactifications.
