MathDB
INMO 2019 P1

Source:

January 20, 2019
geometrygguu

Problem Statement

Let ABCABC be a triangle with BAC>90\angle{BAC} > 90. Let DD be a point on the segment BCBC and EE be a point on line ADAD such that ABAB is tangent to the circumcircle of triangle ACDACD at AA and BEBE is perpendicular to ADAD. Given that CA=CDCA=CD and AE=CEAE=CE. Determine BCA\angle{BCA} in degrees.