2012 OIM Problems/Problem 5
Problem
Let 
be a triangle and let 
and 
be the points of intersection of the parallel to 
by 
with the exterior bisectors of the angles 
and 
, respectively. The perpendicular to 
at and the perpendicular to 
at intersect at 
. If 
is the incenter of , show that 
.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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