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Moldova Contests
JBMO TST - Moldova
2009 Junior Balkan Team Selection Tests - Moldova
3
Find $\angle ADF.$
Find $\angle ADF.$
Source: Moldova JTST 2009
May 10, 2023
geometry
Problem Statement
Let
A
B
C
ABC
A
BC
be a triangle with
∠
B
C
A
=
20.
\angle BCA=20.
∠
BC
A
=
20.
Let points
D
∈
(
B
C
)
,
F
∈
(
A
C
)
D\in(BC), F\in(AC)
D
∈
(
BC
)
,
F
∈
(
A
C
)
be such that
C
D
=
D
F
=
F
B
=
B
A
.
CD=DF=FB=BA.
C
D
=
D
F
=
FB
=
B
A
.
Find
∠
A
D
F
.
\angle ADF.
∠
A
D
F
.
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