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4
Junior Regional Olympiad - FBH 2016 Grade 6 Problem 4
Junior Regional Olympiad - FBH 2016 Grade 6 Problem 4
Source:
September 29, 2018
geometry
Angle Chasing
Problem Statement
Let
C
C
C
and
D
D
D
be points inside angle
∠
A
O
B
\angle AOB
∠
A
OB
such that
5
∠
C
O
D
=
4
∠
A
O
C
5\angle COD = 4\angle AOC
5∠
CO
D
=
4∠
A
OC
and
3
∠
C
O
D
=
2
∠
D
O
B
3\angle COD = 2\angle DOB
3∠
CO
D
=
2∠
D
OB
. If
∠
A
O
B
=
10
5
∘
\angle AOB = 105^{\circ}
∠
A
OB
=
10
5
∘
, find
∠
C
O
D
\angle COD
∠
CO
D
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