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Problems
Contests
National and Regional Contests
Ukraine Contests
Official Ukraine Selection Cycle
Kyiv City MO
Kyiv City MO - geometry
Kyiv City MO Juniors 2003+ geometry
2005.89.5
2005.89.5
Part of
Kyiv City MO Juniors 2003+ geometry
Problems
(1)
<FXE inside regular hecagon (Kyiv City Olympiad 2005 8.5 9.5)
Source:
6/27/2020
Let
A
B
C
D
E
F
ABCDEF
A
BC
D
EF
be a regular hexagon. On the line
A
F
AF
A
F
mark the point
X
X
X
so that
∠
D
C
X
=
4
5
o
\angle DCX = 45^o
∠
D
CX
=
4
5
o
. Find the value of the angle
F
X
E
FXE
FXE
. (Vyacheslav Yasinsky)
geometry
angles
hexagon
Regular