By using waveguide enhanced polarized neutron reflectometry we have characterized the magnetic state of exchange biased CoO_x(20 nm)/Co(4 nm)/Nb(5 nm)/Co(2 nm)/Nb(25 nm)/Al₂O₃ system. Measurement allowed to determine the dependence of the inclination angles of magnetic moment of the both Co layers as a function of applied field. According to the measurement the soft Co(2 nm) layer magnetization turns towards external field in magnetic fields as small as 20 Oe. In contrast direction of magnetic moment of Co(4 nm) layer can not be altered in magnetic fields as high as 2 kOe. PACS: 75.70.Cn Magnetic properties of interfaces (multilayers, superlattices, heterostructures); 75.25.-j Spin arrangements in magnetically ordered materials (including neutron and spin-polarized electron studies, synchrotron-source x-ray scattering, etc.); 61.05.fj Neutron reflectometry.