A method includes positioning an anchor deployment manipulator at least partially within a lumen of a sleeve of an annuloplasty ring, the sleeve having a lateral wall shaped to define the lumen, and the lumen extending longitudinally along a length of the sleeve. A portion of the sleeve that contains a distal end of the deployment manipulator is placed into an atrium in a vicinity of an annulus of an atrioventricular valve. An anchor is deployed from the distal end of the deployment manipulator through the lateral wall of the sleeve into cardiac tissue, while the distal end of the deployment manipulator is positioned such that a central longitudinal axis of the deployment manipulator through the distal end of the deployment manipulator forms an angle of between 45 and 90 degrees with the lateral wall of the sleeve at a point at which the anchor penetrates the lateral wall.