MathDB
circumcenter of AKC is also circumcenter of ABC 1988 Kyiv City MO 8.5

Source:

July 16, 2021
geometrycircumcircle

Problem Statement

In the triangle ABCABC, the angle bisector AKAK is drawn. The center of the circle inscribed in the triangle AKCAKC coincides with the center of the circle, circumscribed around the triangle ABCABC. Determine the angles of triangle ABCABC.