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Greece Junior Math Olympiad
2009 Greece Junior Math Olympiad
2
2
Part of
2009 Greece Junior Math Olympiad
Problems
(1)
angle chasing inside an equilateral, BD+DC=BC, BA=BE (Greece Junior 2009)
Source:
7/14/2019
From vertex
A
A
A
of an equilateral triangle
A
B
C
ABC
A
BC
, a ray
A
x
Ax
A
x
intersects
B
C
BC
BC
at point
D
D
D
. Let
E
E
E
be a point on
A
x
Ax
A
x
such that
B
A
=
B
E
BA =BE
B
A
=
BE
. Calculate
∠
A
E
C
\angle AEC
∠
A
EC
.
Angle Chasing
Equilateral