In this Letter, we report a gyromagnetic superlens showing giant transverse magneto-optical Kerr effect (TMOKE) in a wide-range of incident angles. The existence of loss is the heart of TMOKE, and we found that the wide-angle giant TMOKE occurs when this loss takes place due to permittivity, while the gyration parameter is the result of permeability. Thus, the permeability of the mentioned gyromagnetic slab is tensor, and it only responds to s-polarized light.