The asymptotic theory of flow separation is used to derive the interactive boundary-layer equations governing the flow motion in the vicinity of the trailing edge of thin aerofoil shapes, whose trailing edge is represented in the form y = alpha(-x)(m). The onset of the separation phenomenon is investigated and a criterion for the occurrence of separation is established. The governing nonlinear interaction equations are then solved numerically and the results of the separated regions corresponding to various parameters m and alpha are plotted. The analysis carried out over the interaction region of the trailing edge shows that flow separation always takes place beyond a critical value of alpha under the action of a self-induced pressure gradient. The critical value is found to be almost coincident for each m with the one associated with the wedged trailing edge.