MathDB
angle chasing, BK=BO, circumcircle, midpoint, bisector (2020 Kyiv City MO 8.4)

Source:

September 20, 2020
geometrycircumcircleangles

Problem Statement

Given a triangle ABC,OABC, O is the center of the circumcircle, MM is the midpoint of BC,WBC, W is the second intersection of the bisector of the angle CC with this circle. A line parallel to BCBC passing through WW, intersectsAB AB at the point KK so that BK=BOBK = BO. Find the measure of angle WMBWMB.
(Anton Trygub)
Back to ProblemsView on AoPS