Refer to the diagram shown. Two right triangles A J D and D C J, point toward each other and overlap with C J intersecting A D at point B. Angles J D C and A J D are the right angles. Segments are drawn from C to F on J D and from A to G on J D creating two more right triangles C D F and A J G. A G intersects C J at H and C F intersects A D at E. The following sets of segments are congruent: G H and F E, J G and D F, and A H and C E.

If m∠BHG = 100, what is m∠CED? Enter your answer with numbers only.