In order to acquire the angular position of a shaft of an internal combustion engine of a motor vehicle, in particular a crankshaft or a camshaft, a shaft angle sensor and a shaft angle sensor system are proposed. The shaft angle sensor has a magnetic transducer element and a magnetic sensor element. Either the magnetic transducer element or the magnetic sensor element is capable of being connected fixedly to the shaft. The magnetic sensor element produces at least one angle signal that is transmitted wirelessly to a base station by a transmitter device.