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National and Regional Contests
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Soros Olympiad in Mathematics
VI Soros Olympiad 1999 - 2000 (Russia)
11.10
11.10
Part of
VI Soros Olympiad 1999 - 2000 (Russia)
Problems
(1)
angles wanted - VI Soros Olympiad 1999-00 Round 1 11.10
Source:
5/21/2024
In triangle
A
B
C
ABC
A
BC
, angle
A
A
A
is equal to
a
a
a
and angle
B
B
B
is equal to
2
a
2a
2
a
. A circle with center at point
C
C
C
of radius
C
A
CA
C
A
intersects the line containing the bisector of the exterior angle at vertex
B
B
B
, at points
M
M
M
and
N
N
N
. Find the angles of triangle
M
A
N
MAN
M
A
N
.
geometry
angles