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1999 Mongolian Mathematical Olympiad
Problem 1
convex quadrilateral
convex quadrilateral
Source:
July 20, 2013
geometry unsolved
geometry
Problem Statement
In a convex quadrilateral
A
B
C
D
ABCD
A
BC
D
,
∠
A
B
D
=
6
5
∘
{\angle}ABD=65^\circ
∠
A
B
D
=
6
5
∘
,
∠
C
B
D
=
3
5
∘
{\angle}CBD=35^\circ
∠
CB
D
=
3
5
∘
,
∠
A
D
C
=
13
0
∘
{\angle}ADC=130^\circ
∠
A
D
C
=
13
0
∘
and
B
C
=
A
B
BC=AB
BC
=
A
B
.Find the angles of
A
B
C
D
ABCD
A
BC
D
.
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