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1999 Portugal MO
6
angle wanted, trisection point, equal angles 1999 Portugal p6
angle wanted, trisection point, equal angles 1999 Portugal p6
Source:
October 12, 2020
geometry
angles
equal angles
Problem Statement
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
.
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