A method and an angle sensor for contactless measurement of an angle between a first machine element and a second machine element rotatable with respect thereto. A plurality of coils are non-rotatably connected to the first machine element and include transmitter coils—distributed around the rotational axis. Each of the transmitter coils is arranged in a sector about the rotational axis. An iron-core element non-rotatably connected to the second machine element is disposed in a sector opposite the transmitter coils. Based on applying voltage pulses, a determination of the angle to be measured is effected starting from a ratio formation between the amplitude of a secondary voltage pulse associated with a selected transmitter coil and a peak amplitude.