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Problem 383. Concave Quadrilateral, Angle Bisectors, Semi-difference of Angles. Level: High School, College, SAT Prep.

The figure shows a concave quadrilateral ABCD with AE angle bisector of angle BAD and CE angle bisector of angle BCD. Prove that angle AEC = (angle ABC - angle ADC) / 2.
 

Concave Quadrilateral, Angle Bisectors 

 

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