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Regional Mathematical Olympiad
2005 India Regional Mathematical Olympiad
5
Triangle
Triangle
Source: Indian RMO 2005 Problem 5
February 28, 2006
trigonometry
exterior angle
Eq triangle
Problem Statement
In a triangle ABC, D is midpoint of BC . If
∠
A
D
B
=
4
5
∘
\angle ADB = 45 ^{\circ}
∠
A
D
B
=
4
5
∘
and
∠
A
C
D
=
3
0
∘
\angle ACD = 30^{\circ}
∠
A
C
D
=
3
0
∘
, determine
∠
B
A
D
.
\angle BAD.
∠
B
A
D
.
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