Boundary layer similarity reductions for thermal convection adjacent to inclined heated plates with an irregular leading edge are presented. The theory is outlined using three examples: Newtonian convection over an isothermal plate, Darcian convection over a nonuniformly heated plate, and mixed convection of Newtonian shear flow over a nonuniformly heated plate. These reductions represent a natural extension of results obtained by the author for Blasius flow over a flat plate with an irregular leading edge.