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2019 Auckland Mathematical Olympiad
1
<ACB=? <BAC=20,<CAD=60, <ADB=<50, <BDC =10 (2019 Auckland MO J1)
<ACB=? <BAC=20,<CAD=60, <ADB=<50, <BDC =10 (2019 Auckland MO J1)
Source:
December 31, 2020
geometry
angles
Problem Statement
Given a convex quadrilateral
A
B
C
D
ABCD
A
BC
D
in which
∠
B
A
C
=
2
0
o
\angle BAC = 20^o
∠
B
A
C
=
2
0
o
,
∠
C
A
D
=
6
0
o
\angle CAD = 60^o
∠
C
A
D
=
6
0
o
,
∠
A
D
B
=
5
0
o
\angle ADB = 50^o
∠
A
D
B
=
5
0
o
, and
∠
B
D
C
=
1
0
o
\angle BDC = 10^o
∠
B
D
C
=
1
0
o
. Find
∠
A
C
B
\angle ACB
∠
A
CB
.
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