Abstract: A hinge with an adjusting system includes a hinge arm that can be secured to a base plate by at least one adapter. The hinge arm has holes through which pass adjusting and attachment screws. The adapter can be installed on the base plate and can be locked by means of a rocker lever supported on the adapter so as to be able to swivel. The adapter is U-shaped and has two side arms that enclose the base plate and the sides thereof. Both side arms of the adapter lie with no clearance on the base plate, and the material of at least one of the side arms is weakened at at least one place. The adapter is installed at the front by a cross pin thereof fitting in a notch in the base plate. The shape of the notch corresponds to that of the cross pin, and the cross pin is accommodated without any play within the notch. The generators or the center or mid-line longitudinal axes of the notch and the cross pin extend unstressed at an angle relative to each other.