Abstract: An angle-adjustable hinge provided with a first member provided with a case portion holding an approximately disc-shaped gear member having a non-circular through hole as to freely rotate, a second member having a fitting shaft portion detachably inserted to the through hole of the gear member, a wedge-shaped window portion formed on the case portion, and a floating wedge member, movably disposed within the wedge-shaped window portion, in which one side face is a toothed face to engage with the gear member and another side is a contact face to contact a wedge face of the wedge-shaped window portion, to restrict the gear member from oscillation in one direction against the case portion by the engagement of the toothed face with the gear member and the contact of the contact face and the wedge face.