Hysteresis properties of films containing exchange coupled antiferromagnetic / ferromagnetic layers Fe50Mn50 / FM (where FM = Co, Fe, Ni, Fe20Ni80, Fe11Ni89, Co30Ni70) have been investigated. Angular dependencies of exchange displacement field and coercitivity were measured for ferromagnetic layers with different crystal structures, magnetocrystalline anisotropy, and magnetostriction. The computer simulations of hysteresis loops were performed, using the modified Stoner-Wohlfarth model, which allowed us to estimate the influence of various parameters on the specific features of magnetization reversal processes.