The trigonal symmetry of organic triradicals makes them important candidates for spin probes of liquid crystals. Here we develop a lineshape model for such spin probes, within the limit of fast motion, and show how the E.S.R. spectra depend on the orientation of the director with respect to the magnetic field. The theory is employed to study the lineshapes of trisverdazyl radicals in 4,4'-dimethoxyazoxybenzene, aligned by a high frequency electric field. An analysis of the angular-dependent linewidths provides reliable values for the order parameter /34. They are in good agreement with statistical theories of nematic liquid crystals.