MathDB
Compute angle

Source: JBMO 2006

June 29, 2006
geometryincenter

Problem Statement

The triangle ABCABC is isosceles with AB=ACAB=AC, and BAC<60\angle{BAC}<60^{\circ}. The points DD and EE are chosen on the side ACAC such that, EB=EDEB=ED, and ABDCBE\angle{ABD}\equiv\angle{CBE}. Denote by OO the intersection point between the internal bisectors of the angles BDC\angle{BDC} and ACB\angle{ACB}. Compute COD\angle{COD}.