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India Contests
Regional Mathematical Olympiad
1998 India Regional Mathematical Olympiad
1
Find an angle
Find an angle
Source: Indian RMO 1998 Problem 1
October 26, 2005
geometry
circumcircle
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
be a convex quadrilateral in which
∠
B
A
C
=
5
0
∘
,
∠
C
A
D
=
6
0
∘
\angle BAC = 50^{\circ}, \angle CAD = 60^{\circ}
∠
B
A
C
=
5
0
∘
,
∠
C
A
D
=
6
0
∘
and
∠
B
D
C
=
2
5
∘
\angle BDC = 25^{\circ}
∠
B
D
C
=
2
5
∘
. If
E
E
E
is the point of intersection of
A
C
AC
A
C
and
B
D
BD
B
D
, find
∠
A
E
B
\angle AEB
∠
A
EB
.
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