Which muscle is particularly associated with anchoring the right and left atrioventricular valves?

Pappilary muscles

Explanation:

Puppilary muscles are located in the ventricles of the heart. These are the muscles that anchors the cusps of the atrioventricular valves (Mitral and tricuspid valves).

Papillary muscles contract to prevent inversion or prolapse of the right and left atrioventricular valves via the chordae tendineae just before ventricular systole.

It makes up 10 percent of the total heart mass.