existence of a point that any line passing through it bisects an unfixed angle
Source: Sharyging 2005 finals 11.5
August 31, 2019
geometryFixed pointfixedangle
Problem Statement
The angle and the point inside it are given on the plane. Prove that there is a point with the following property:
if an arbitrary line passing through intersects the sides of the angle at points and , then is the bisector of the angle .