In this paper the electromagnetic diffraction by a right-angled resistive wedge made up by a resistive sheet and a perfectly conducting half plane is presented. The resistive wedge is normally illuminated by an E-plane wave. The Sommerfeld-Maliuzhinets method is used to represent the fields in the interior and exterior regions of the resistive wedge by means of two spectral functions. Four coupled functional equations are obtained for the two unknown spectral functions which can be reduced to a fourth-order difference equation with 2π-periodic coefficients. The solution of this difference equation is constructed using the Fourier transform method. The high-frequency approximation of the Sommerfeld integral is obtained with the corresponding uniform diffracted field. Representative curves of the uniform total field are presented.