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In triangle $ABC,$ the angle bisector of $\angle BAC$ meets $\overline{BC}$ at $D,$ such that $AD = AB$. Line segment $\overline{AD}$ is extended to $E,$ such that $CD = CE$ and $\angle DBE = \angle BAD$. Show that triangle $ACE$ is isosceles. please answer soon

 May 22, 2020
edited by Guest  May 22, 2020
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This is a writing problem from AoPS Intro to Geometry.

 

If you doubt me, please know that I solved this a few weeks ago.

 

Do not cheat, and actually use the office hours.

 
 May 22, 2020

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