An angle-measuring device includes a housing and a position sensor configured to generate angle values indicating an angular position of a shaft with respect to a reference position. An interface is configured to communicate with subsequent electronics via a data channel. At least one imbalance sensor is configured to generate an imbalance signal from imbalance-induced excursions of the shaft. An imbalance analyzer is configured to generate imbalance values from the imbalance signal. A signal processor is configured to generate imbalance information from the angle values and the imbalance values. The imbalance information is transmittable through the interface to the subsequent electronics.