Problem A. 549. (December 2011)

A. 549. The diagonals of a circumscribed quadrilateral ABCD meet at E. Show that the incenters of the triangles ABE, BCE, CDE and DAE lie on a circle.

(Proposed by: G. Holló, Budapest)

(5 pont)

Deadline expired on January 10, 2012.

Statistics:

3 students sent a solution.
5 points:	Gyarmati Máté, Mester Márton, Omer Cerrahoglu.

Problems in Mathematics of KöMaL, December 2011