As shown in the figure, in △ ABC, bisectors of ∠ B and ∠ C intersect at point O, and make de ‖ BC through O. if BD + EC = 5, what is de equal to?

As shown in the figure, in △ ABC, bisectors of ∠ B and ∠ C intersect at point O, and make de ‖ BC through O. if BD + EC = 5, what is de equal to?

The bisectors of ∵ B and ∵ C intersect at O, ∵ OBD = ∵ OBC, ∵ OCE = ∵ OCB, ∵ de ∥ BC, ∵ DOB = ∵ OBC, ∵ EOC = ∵ OCB, ∵ OBD = ∵ DOB, ∵ EOC = ∵ Eco, ∵ od = BD, OE = CE, ∵ de = od + OE = BD + EC, ? BD + EC = 5