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2015 PAMO
Problem 2
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Concurrent lines in hexagon - 2015 PAMO Problem 2
Source: 2015 Pan-African Mathematics Olympiad Problem 2
8/26/2015
A convex hexagon
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
is such that AB=BC CD=DE EF=FA and \angle ABC=2\angle AEC \angle CDE=2\angle CAE \angle EFA=2\angle ACE Show that
A
D
AD
A
D
,
C
F
CF
CF
and
E
B
EB
EB
are concurrent.
geometry
hexagon
concurrency