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National and Regional Contests
Portugal Contests
Portugal MO
1999 Portugal MO
6
6
Part of
1999 Portugal MO
Problems
(1)
angle wanted, trisection point, equal angles 1999 Portugal p6
Source:
10/12/2020
In the triangle
[
A
B
C
]
,
D
[ABC], D
[
A
BC
]
,
D
is the midpoint of
[
A
B
]
[AB]
[
A
B
]
and
E
E
E
is the trisection point of
[
B
C
]
[BC]
[
BC
]
closer to
C
C
C
. If
∠
A
D
C
=
∠
B
A
E
\angle ADC= \angle BAE
∠
A
D
C
=
∠
B
A
E
, find the measue of
∠
B
A
C
\angle BAC
∠
B
A
C
.
geometry
angles
equal angles