  Rotating domain wall based sensors that have recently been developed are
based on a segmented looping geometry. In order to determine the crucial
pinning of domain walls in this special geometry, we investigate the depinning
under different angles of an applied magnetic field and obtain the angular
dependence of the depinning field of the domain walls. Due to the geometry, the
depinning field not only exhibits a 180$^\circ$-periodicity but a more complex
dependence on the angle. The depinning field depends on two different angles
associated with the initial state and the segmented geometry of the corner. We
find that depending on the angle of the applied field two different switching
processes occur and we can reproduce the angular dependence using a simple
model calculation.
