A folding convertible top for a convertible vehicle includes a rotational angle detection device disposed in a rotary hinge (1) for detection of the rotational angle between linkage arms (2, 4) of a convertible top frame that are pivotably connected with each other by a bearing pin (10; 22). A rotational angle encoder (8; 18; 30) is connected with one linkage arm so as to rotate therewith and a sensor element (6; 20; 32) is connected with the other linkage arm so as to rotate therewith. The rotational angle encoder and/or the sensor element is/are disposed adjacent to the bearing pin on respective surfaces of the linkage arms facing towards each other or within housing parts (24, 26) connected to the respective linkage arms.