A grating coated with a magnetic film is illuminated by a laser beam and produces Bragg-diffracted beams. The non-zero-order beams, leaving the specimen, feature the magneto-optical Kerr effect just as well as the zero-order specular one. We show the results of systematic measurements of the change in reflectivity between oppositely saturated states, for various diffracted beams from a simple grating, in the geometry corresponding to the transverse non-specular Kerr effect, on varying the angle of incidence.