  TmAgGe is an antiferromagnet in which the spins are confined to distorted
kagome-like planes at low temperatures. We report angle-dependent measurements
of the magnetization $M$ in fields of up to 55 T that show that there are two
distinct and separate energy scales present in TmAgGe, each responsible for a
set of step-like metamagnetic transitions; weak exchange interactions and
strong crystalline electric field (CEF) interactions. Simulations of $M$ using
a three-dimensional, free-energy minimization technique allow us to specify for
the first time the physical origin of the metamagnetic transitions in low,
in-plane fields. We also show that the transitions observed with the field
perpendicular to the kagome planes are associated with the CEF-split multiplet
of Tm.
