The problem of transverse magnetic (TM) plane wave scattering from a dihedral corner reflector is investigated. Using the mode matching technique (MMT), the transmitted and scattered fields are expressed in the angular spectral domain in terms of radial waveguide modes. The boundary conditions are enforced to obtain simultaneous equations for the transmitted and scattered fields. The simultaneous equations are then solved to represent the fields in a series form. Numerical results obtained by this method compare favourably with those obtained by other methods.