Gamma-ray multiplicity moments have been measured for reactions induced in the collision systems 86Kr + 144Sm and 86Kr + 154Sm at 490 MeV lab bombarding energy. Differential cross sections for reaction products from Fe to In were also measured. Angular momentum distribution moments are derived from the multiplicity moments for deep inelastic collisions. The angular momentum transfer results are discussed in terms of the sticking picture and other models for deep inelastic collisions. It is demonstrated that the measured second moments are larger than expected from the standard sticking prescription and may provide a significant test of other models.