If P is a point inside a convex quadrilateral ABCD, let the angle bisectors of ∠APB, ∠BPC, ∠CPD and ∠DPA meet AB, BC, CD and DA at K, L, M and N respectively.(a) Find a point P such that KLMN is a parallelogram.
(b) Find the locus of all such points P. (S Tokarev) geometryangle bisectorLocusparallelogram