MathDB

angle chasing, related to angle between altitude and angle bisector

Source: Sharygin 2010 Final 9.1

October 6, 2018

geometryangle bisectorAngle Chasinganglesaltitude

Problem Statement

For each vertex of triangle

ABC

, the angle between the altitude and the bisectrix from this vertex was found. It occurred that these angle in vertices

A

and

B

were equal. Furthermore the angle in vertex

C

is greater than two remaining angles. Find angle

C

of the triangle.