1996 IMO Problems/Problem 2

Problem

Let $P$ be a point inside triangle $ABC$ such that

$\angle APB-\angle ACB = \angle APC-\angle ABC$

Let $D$ , $E$ be the incenters of triangles $APB$ , $APC$ , respectively. Show that $AP$ , $BD$ , $CE$ meet at a point.

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1996 IMO (Problems) • Resources
Preceded by Problem 1	1 • 2 • 3 • 4 • 5 • 6	Followed by Problem 3
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