A system for implanting a repair device onto a native valve of a natural heart to repair the native valve of a patient during a non-open-heart procedure. The system includes a base assembly, a pair of paddles, and a pair of gripping members. The base assembly includes a shaft and a coupler attached to the shaft such that the coupler can be moved along the shaft. The paddles are movable between an open position, a closed position and a bailout position. The paddles and the gripping members are configured to attach to the native valve of the patient. Movement of the coupler along the shaft causes the paddles to move between the open position, the closed position, and the bailout position. When the paddles are in the bailout position, a bailout angle between each paddle of the pair of paddles and the shaft is greater than or equal to 120 degrees.