The angular distribution of γ rays emitted by deformed odd-A nuclei with high spin has been calculated. The results are applicable to emission from states populated during heavy-ion bombardment. The effect of polarization of the spin of the compound nucleus in a plane perpendicular to the heavy-ion beam is considered. Contributions from pure E2 and M1 radiations, as well as from interference between these two radiations, are included. It is shown how experimentally measured angular distributions can be used as a tool for determining both the magnitude and the relative phase of the amplitude of E2 and M1 transitions.