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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