MathDB

2008.8.4

Part of Kyiv City MO Juniors 2003+ geometry

Problems(1)

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

Source:

6/30/2020
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)
geometrytrapezoidTrianglesangles