MathDB
angles wanted, 2 triangles, trapezoid (Kyiv City Olympiad 2008 8.4)

Source:

June 30, 2020
geometrytrapezoidTrianglesangles

Problem Statement

There are two triangles ABCABC and BKLBKL on the plane so that the segment AKAK is divided into three equal parts by the point of intersection of the medians △ABC\vartriangle ABC and the point of intersection of the bisectors △BKL \vartriangle BKL (AKAK - median △ABC \vartriangle ABC, KAKA - bisector △BKL\vartriangle BKL ) and quadrilateral KALCKALC is trapezoid. Find the angles of the triangle BKLBKL.
(Bogdan Rublev)
Back to ProblemsView on AoPS