A method is described for characterizing a subsurface formation with a logging instrument disposed in a borehole penetrating the formation. The logging instrument is equipped with at least a transmitter system and a receiver system. The method entails positioning the logging instrument within the borehole so that the transmitter system and receiver system are disposed in the vicinity of a formation boundary of interest and measuring the azimuthal orientation of the logging instrument. Electromagnetic energy is transmitted into the formation using the transmitter system and signals associated with the transmitted electromagnetic energy are measured using the receiver system. The method further entails determining the relative azimuth of the formation boundary, composing a symmetrized directional measurement using the measured signals and the determined relative boundary azimuth, and determining the relative dip of the formation boundary using the composed directional measurement.