Olympiad Geometry Problem #80: Incircle, Reflections, Perpendicular

Here is a remarkable problem posted by Evan Chen from the 2014 Taiwan Team Selection Test. Like I've mentioned before, he is a grad student at MIT and has his own channel vEnhance where he solves problems on the spot! Hope you enjoy it, link below.

[himeshkumar]

This problem really tasted like evan's short but beautiful