2001 IMO Problems/Problem 5

Problem

$ABC$ is a triangle. $X$ lies on $BC$ and $AX$ bisects angle $A$ . $Y$ lies on $CA$ and $BY$ bisects angle $B$ . Angle $A$ is $60^{\circ}$ . $AB + BX = AY + YB$ . Find all possible values for angle $B$ .

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2001 IMO (Problems)
Preceded by Problem 4	1 • 2 • 3 • 4 • 5 • 6	Followed by Problem 6