Abstract: Safety glasses for experienced cyclists have a small diameter, unobtrusive, adjustable and removable mirror mounted thereon for establishing a rearwardly directed line of sight so that the cyclist can see a vehicle, including an automobile, motorcycle, or another cyclist, approaching from behind. The mirror is mounted on a stem that is magnetically attached to the gasses frame and extends forward from the frame. The magnetic attachment is sufficient to allow ready adjustment of the angle of incidence of light to establish the desired rearwardly directed line of sight and to fix the line of sight in place after adjustment. The glasses frame has a small disc-shaped neodymium magnet of from about 1 to 2 or 3 pounds force pull strength embedded in the face frame to the wearer's left and the mirror stem has a cooperating corresponding magnet mounted opposite the mirror. Larger mirrors may be desirable for use by less experienced cyclists.