Zigzag
In triangle ABC , * AB=54 , * BC=45 , AC=36 . Point D is on AB such that CD bisects angle ACB ,point E is on AC such that DE bisects angle ADC , point F is on AD such that EF bisects angle AED , and the process is continued indefinitely. What is the sum of the angle bisectors? ( CD+DE+EF+FG+... )
The answer is 90.
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