A resolver bearing with an angle sensor to detect the angular position of the bearing rings. The angle sensor includes an annular resolver stator connected to one of the bearing rings and includes a transmission coil and a receiving coil designed as printed circuits on a multilayer printed circuit board. The transmission coil is arranged at least partly within a U-shaped shell core, and the receiving coil is arranged at least partly within and at least partly outside of the shell core. The angle sensor also has a resolver rotor rotationally fixed to the other of the two bearing rings and includes magnetically conductive components. The resolver rotor is arranged at least partly within the U-shaped shell core. A signal can be transmitted between the transmission coil and the receiving coil via a magnetic circuit. An angular position-dependent variable reluctance in the magnetic circuit can be specified by the resolver rotor. The shell core is made of magnetically conductive structures integrated into the multilayer printed circuit board.