An angular offset tool for directionally drilling an underground borehole is formed from a collar, a housing, and a wedge. The collar and the housing are joined by a ball-and-socket connection. An internal wedge is situated between the collar and the housing within the ball-and-socket connection such that the collar and housing are joined at a non-straight angle. At least one of the collar and the housing has a recess formed in an element of the ball-and-socket connection. The wedge is situated in the recess in contacting relationship with the collar and the housing. The wedge and the housing have interlocking features that prevent rotation of the wedge within the recess.