Angle measuring device comprising a first group of components, a second group of components and a bearing, wherein the groups of components (1, 2) are arranged so as to be rotatable relative to one another about an axis of rotation by the bearing, wherein - the first group of components has a scale element (1.1; 1.1') having a first graduation (1.11), - the second group of components has a first structural unit (2.1), which has a position sensor (2.11), a second structural unit (2.2), which has a first, second and third position pickup (2.21, 2.22, 2.23), and an equalizing coupling (2.3), wherein the position sensor (2.11) and the position pickups (2.21, 2.22, 2.23) are each arranged opposite the scale element (1.1; 1.1') with an air gap, the first structural unit (2.1) is connected to the second structural unit (2.2) with the aid of the equalizing coupling (2.3) in a torsionally rigid but axially and radially resilient manner, with the result that the position sensor (2.11) is arranged in a torsionally rigid but axially and radially resilient manner relative to the position pickups (2.21, 2.22, 2.23), wherein the angle measuring device is configured such that it is operable in a first mode and in a second mode, wherein, in the first mode, the first graduation (1.11) is scannable by the position sensor (2.11) to determine a first angular position (Pos 2.11) and, in the second mode, the first graduation (1.11) or a further graduation (1.13) disposed on the scale element (1.1; 1.1') is scannable by the position pickups (2.21, 2.22, 2.23) to determine a respective further angular position (Pos 2.21, Pos 2.22, Pos 2.23), wherein a corrected relative angular position (Pos I) between the groups of components (1, 2) is determinable based on the first angular position (Pos 2.11) and the further angular positions (Pos 2.21, Pos 2.22, Pos 2.23). - the first group of components has a scale element (1.1; 1.1') having a first graduation (1.11), - the second group of components has a first structural unit (2.1), which has a position sensor (2.11), an equalizing coupling (2.3), wherein the position sensor (2.11) and the position pickups (2.21, 2.22, 2.23) are each arranged opposite the scale element (1.1; 1.1') with an air gap, the first structural unit (2.1) is connected to the second structural unit (2.2) with the aid of the equalizing coupling (2.3) in a torsionally rigid but axially and radially resilient manner, with the result that the position sensor (2.11) is arranged in a torsionally rigid but axially and radially resilient manner relative to the position pickups (2.21, 2.22, 2.23), wherein the angle measuring device is configured such that it is operable in a first mode and in a second mode, wherein, in the first mode, the first graduation (1.11) is scannable by the position sensor (2.11) to determine a first angular position (Pos 2.11) and, in the second mode, the first graduation (1.11) or a further graduation (1.13) disposed on the scale element (1.1; 1.1') is scannable by the position pickups (2.21, 2.22, 2.23) to determine a respective further angular position (Pos 2.21, Pos 2.22, Pos 2.23), wherein a corrected relative angular position (Pos I) between the groups of components (1, 2) is determinable based on the first angular position (Pos 2.11) and the further angular positions (Pos 2.21, Pos 2.22, Pos 2.23).