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Angle inequality

Source: Serbian Mathematical Olympiad 2021, P3

May 14, 2021

geometrygeometrical inequalityinequalities

Problem Statement

In a triangle

ABC

, let

AB

be the shortest side. Points

X

and

Y

are given on the circumcircle of

\triangle ABC

such that

CX=AX+BX

and

CY=AY+BY

. Prove that

\measuredangle XCY<60^{o}

.

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