Given a triangle ABC. Let D, E, and F be the points of tangency of the excircle corresponding to AC, as shown in the figure. If FG is perpendicular to DE (G on DE), prove that GF is the bisector of angle AGC.
Geometry Problems Visual Index 1261-1270 Open Problems All Problems Triangles Angle Bisector Circle Excircle Perpendicular lines View or Post a solution