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All angles in a hexagon are equal - JBMO Shortlist
All angles in a hexagon are equal - JBMO Shortlist
Source:
October 30, 2010
geometry proposed
geometry
Problem Statement
All the angles of the hexagon
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
are equal. Prove that
A
B
−
D
E
=
E
F
−
B
C
=
C
D
−
F
A
AB-DE=EF-BC=CD-FA
A
B
−
D
E
=
EF
−
BC
=
C
D
−
F
A
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