A removable system for joining a device to a support, using a male part equipping the support and interacting with a female part equipping the device; - the male part including an arm having a free end provided with a series of bearing teeth extending radially in a radial plane and distributed over an angular distribution; - the female part including at least one locking plate delimited by a front face and a back face and in which is arranged an opening of a section suitable for allowing, in an insertion position, the engagement, from the front face, of the free end of the male part beyond the back face, the opening arranged in the locking plate delimiting retaining teeth extending radially and which, after a relative rotation between the female part and the male part, are able, in a locking position, to come face-to-face with a bearing tooth to prevent the disengagement, between the male and female parts, of the back face in the direction of the front face, - the female part and the male part including an angular locking device able to angularly lock the female and male parts when they are occupying the locking position, the angular locking device including a latch mounted radially movable on the back face of the locking plate and provided with a translating member accessible from the front face of the locking plate, the latch being intended to automatically engage in a limiting groove of the external edge of a bearing tooth; - the female part including an abutment bottom for the male part limiting the engagement of the male part beyond the back face of the locking plate and having a rotational guiding surface between the male part and the female part in order to change from the insertion position to the locking position and conversely. - the male part including an arm having a free end provided with a series of bearing teeth extending radially in a radial plane and distributed over an angular distribution; - the female part including at least one locking plate delimited by a front face and a back face and in which is arranged an opening of a section suitable for allowing, in an insertion position, the engagement, from the front face, of the free end of the male part beyond the back face, the opening arranged in the locking plate delimiting retaining teeth extending radially and which, after a relative rotation between the female part and the male part, are able, in a locking position, to come face-to-face with a bearing tooth to prevent the disengagement, between the male and female parts, of the back face in the direction of the front face, - the female part and the male part including an angular locking device able to angularly lock the female and male parts when they are occupying the locking position, the angular locking device including a latch mounted radially movable on the back face of the locking plate and provided with a translating member accessible from the front face of the locking plate, the latch being intended to automatically engage in a limiting groove of the external edge of a bearing tooth; - the female part including an abutment bottom for the male part limiting the engagement of the male part beyond the back face of the locking plate and having a rotational guiding surface between the male part and the female part in order to change from the insertion position to the locking position and conversely.