A class of equilibria of the Euler equations is derived describing a vortex dipole of non-zero circulation interacting with the interface between a uniform shear layer and an irrotational region. The flow field and the shape of the deformed shear layer profile are given in terms of explicit mathematical formulae. Properties of the solutions are discussed. They share many qualitative features with a new translating quasi-geostrophic V-state solution recently found by McDonald (2004).