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10
2014 Geometry #10
2014 Geometry #10
Source:
July 12, 2022
2014
Geometry Test
Problem Statement
In a convex quadrilateral
A
B
C
D
ABCD
A
BC
D
we are given that
∠
C
A
D
=
1
0
∘
\angle CAD=10^\circ
∠
C
A
D
=
1
0
∘
,
∠
D
B
C
=
2
0
∘
\angle DBC=20^\circ
∠
D
BC
=
2
0
∘
,
∠
B
A
D
=
4
0
∘
\angle BAD=40^\circ
∠
B
A
D
=
4
0
∘
,
∠
A
B
C
=
5
0
∘
\angle ABC=50^\circ
∠
A
BC
=
5
0
∘
. Compute angle
B
D
C
BDC
B
D
C
.
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