Find the Point

For discussing Olympiad level Geometry Problems
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FahimFerdous
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Find the Point

Unread post by FahimFerdous » Sat Feb 25, 2012 8:24 pm

Let P be a point inside a convex quadrilateral ABCD. Let the angle bisector of <APB, <BPC, <CPD and <DPA meet AB, BC, CD and DA at K, L, M and N respectively. Find a point P such that KLMN is a parallelogram.
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