MathDB

Sharygin 2022 P19

Source: Sharygin 2022 P19

March 4, 2022

geometry

Problem Statement

Let

I

be the incenter of triangle

ABC

, and

K

be the common point of

BC

with the external bisector of angle

A

. The line

KI

meets the external bisectors of angles

B

and

C

at points

X

and

Y

. Prove that

\angle BAX = \angle CAY

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