The invention relates to an angular position measuring device (20) including a magnetic sensor (10) cooperating with a moving magnetic element (12), the sensor including at least one first (R1-R4) and one second (R5-R8) group of magnetoresistive elements each configured as a Wheatstone bridge, suitable for supplying a first and a second measurement signal (Sin, Cos) respectively proportional to the sine and the cosine of twice the angular position (α) of the moving magnetic element, and a processing unit supplying a response corresponding to the angular position from the first and second measurement signals, characterized in that the sensor is deliberately offset relative to an axis (14) of the moving magnetic element and in that the latter is deliberately offset relative to its rotation axis (30), by offset values that are deliberately selected so that the angular measurement range extends beyond 180°.