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The interior of a right-angled impedance wedge is a natural model of a corner reflector and is of interest in the development of wireless propagation models. Using a previously-developed solution for the diffraction of a plane wave by a wedge of arbitrary angle, the geometrical optics field is determined and the diffracted field is computed. If an impedance compatibility condition is not met, the geometrical optics field is discontinuous across a plane specified by the edge of the wedge and the incident field direction. The diffracted field is required to compensate for this and its magnitude is proportional to the discontinuity. The field is computed for a variety of impedances and incident angles. Simple analytical approximations are also provided and their accuracy quantified.