MathDB
angle wanted, circle, midpoint, square related(2018 Kyiv City MO 9.5.1 )

Source:

September 12, 2020
geometrysquareangles

Problem Statement

Given a circle Γ\Gamma with center at point OO and diameter ABAB. OBDEOBDE is square, FF is the second intersection point of the line ADAD and the circle Γ\Gamma, CC is the midpoint of the segment AFAF. Find the value of the angle OCBOCB.