1997 IMO Problems/Problem 2
Problem
The angle at 
is the smallest angle of triangle 
. The points 
and 
divide the circumcircle of the triangle into two arcs. Let 
be an interior point of the arc between and which does not contain . The perpendicular bisectors of 
and 
meet the line 
and 
and 
, respectively. The lines 
and 
meet at 
. Show that.
Solution
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