The scattering of electromagnetic waves off a dielectric wedge is approached using an integral equation formulation. This formulation seeks to express the interfacial field as a combination of the geometric optics field and a diffraction field made up of a number of Bessel functions. Both null field and interfacial integral equations are used to overspecify the problem and thus, seek a least squares approximation to the interfacial field on the wedge interface. The optimum number of Bessel functions used to specify the diffraction field is sought through a minimization of additional interfacial fields of equations. The unboundedness of the wedge interface problem makes it particularly difficult; the use of global basis functions embodying limiting forms of quasi-analytic formulations appears to be an efficacious approach to computing the scattered field. The methodology is quite general, lending itself to the analysis of a wedge with any dielectric constant, having any arbitrary angle.