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National and Regional Contests
Belgium Contests
Flanders Math Olympiad
2012 Flanders Math Olympiad
4
4
Part of
2012 Flanders Math Olympiad
Problems
(1)
angle chasing when <A=66^o, BD= AB + AC , external angle bisctor of A
Source: 2012 VWO Flanders MO p4
8/7/2020
In
△
A
B
C
,
∠
A
=
6
6
o
\vartriangle ABC, \angle A = 66^o
△
A
BC
,
∠
A
=
6
6
o
and
∣
A
B
∣
<
∣
A
C
∣
| AB | <| AC |
∣
A
B
∣
<
∣
A
C
∣
. The outer bisector in
A
A
A
intersects
B
C
BC
BC
in
D
D
D
and
∣
B
D
∣
=
∣
A
B
∣
+
∣
A
C
∣
| BD | = | AB | + | AC |
∣
B
D
∣
=
∣
A
B
∣
+
∣
A
C
∣
. Determine the angles of
△
A
B
C
\vartriangle ABC
△
A
BC
.
geometry
angle bisector
angles
Angle Chasing