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Iran Contests
Iran MO (3rd Round)
2002 Iran MO (3rd Round)
7
What are the angles
What are the angles
Source: Iran 2002
April 9, 2004
trigonometry
geometry proposed
geometry
Problem Statement
In triangle
A
B
C
ABC
A
BC
,
A
D
AD
A
D
is angle bisector (
D
D
D
is on
B
C
BC
BC
) if
A
B
+
A
D
=
C
D
AB+AD=CD
A
B
+
A
D
=
C
D
and
A
C
+
A
D
=
B
C
AC+AD=BC
A
C
+
A
D
=
BC
, what are the angles of
A
B
C
ABC
A
BC
?
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