MathDB
Beautiful inequality regarding angles in a square.

Source: ToT 2003-JA-5

June 19, 2011
inequalitiesgeometry unsolvedgeometry

Problem Statement

A point OO lies inside of the square ABCDABCD. Prove that the difference between the sum of angles OAB,OBC,OCD,ODAOAB, OBC, OCD , ODA and 180∘180^{\circ} does not exceed 45∘45^{\circ}.
Back to ProblemsView on AoPS