MathDB
angle chasing, isosceles and angle bisectors (2015 Kyiv City MO 8.3)

Source:

September 2, 2020
geometryangle bisectoranglesisoscelesAngle Chasing

Problem Statement

In the isosceles triangle ABCABC, (AB=BC) (AB = BC) the bisector ADAD was drawn, and in the triangle ABDABD the bisector DEDE was drawn. Find the values of the angles of the triangle ABCABC, if it is known that the bisectors of the angles ABDABD and AEDAED intersect on the line ADAD.
(Fedak Ivan)