The dependence of the resistance of a layered conductor with an arbitrary quasi-two-dimensional electron energy spectrum on the magnitude and orientation of a magnetic field relative to the layers is analyzed. It is shown that, when the current flows along the normal to the layers, the resistance of the sample depends significantly on the angle&thgr;between the normal and the strong magnetic field vector; for&thgr;=&pgr;/2,the resistance increases linearly with the magnetic field in a wide range of magnetic fields.©1997 American Institute of Physics.