A set of one-piece angled abutments, each abutment including an angled stump, a short intermediate cylindrical portion, and a lower threaded portion, wherein the placement of the starting point of the thread within the first round in the lower threaded portion of each abutment determines the angular orientation from 0° to 360° attained by the stump once the abutment is fully tightened to an implant located in the patient's mandible, the set has a variable number of abutments depending on the value of the constant angular offset chosen for spacing the beginning of the thread of each abutment included in the set, each set being defined by a constant angular offset with a value which is a divisor of 360 and the sets of abutments being accompanied by a circular box to easily select the abutment that attains the ideal angular orientation for a patient's needs.