Extremely difficult geometry question (not homework, just interesting):

1) Triangle ABC with AB=50 and AC=10 has area 120. Let D be the midpoint of AB, and let E be the midpoint of AC. The angle bisector of angle BAC intersects DE and BC at F and G respectively. What is the area of quadrilateral FDBG?

•Options are 60, 65, 70, 75, 80

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