We have measured the thermal conductivity tensor of a twinned YBa 2 Cu 3 O 7Ϫx single crystal as a function of angle between the magnetic field applied parallel to the CuO 2 planes and the heat current direction, at different magnetic fields and at Tϭ13.8 K. Clear fourfold and twofold variations in the field-angle dependence of xx and xy were, respectively, recorded in accordance with the d-wave pairing symmetry of the order parameter. The oscillation amplitude of the transverse thermal conductivity xy 0 was found to be larger than the longitudinal one, xx 0 , in the range of magnetic field studied here (0 TрBр9 T). From our data we obtain quantities that are free from nonelectronic contributions, and they allow us a comparison of the experimental results with current models for the quasiparticle transport in the mixed state.