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ComplexNumberApplication
Triangle
Problem - 2148
Let
O
be the circumcentre of triangle
A
B
C
. A line through
O
intersects sides
A
B
and
A
C
at
M
and
N
respectively. Let
S
and
R
be the midpoints of
B
N
and
C
M
, respectively. Prove that
∠
R
O
S
=
∠
B
A
C
.
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