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Geometry Problem 1326: Triangle, Cevian, Incenters, Sum of Angles, 270 Degrees. High School, College, Math Education

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The figure below shows a triangle ABC with D on AC. E is the incenter of triangle ABD and F is the incenter of triangle BDC. Prove that angle AEB + angle BFC = 270 degrees.
 

Triangle, Cevian, Incenters, Sum of Angles, 270 Degrees
 


 

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