Apparatus, systems, and methods are provided for repairing heart valves through percutaneous transcatheter delivery and fixation of annuloplasty rings to heart valves. An annuloplasty ring includes an outer hollow body member including a plurality of regions. Adjacent regions cooperate with one another to change the body member from an elongate insertion geometry to an annular operable geometry. Adjacent regions are coupled by a biasing element or a stepped connector to allow expansion to an expanded state and contraction to a contracted state in the annular operable geometry. The annuloplasty ring also includes an internal anchor member located at least partially within the body member and having a plurality of anchors configured to attach the annuloplasty ring to tissue of a heart valve annulus. An angled ring closure lock allows coupling of the ends of an annuloplasty ring at an apex of a D-shape annular operable geometry.