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Germany Contests
German National Olympiad
2020 German National Olympiad
1
1
Part of
2020 German National Olympiad
Problems
(1)
Maximising an angle in a circle
Source: Germany 2020, Problem 1
6/22/2020
Let
k
k
k
be a circle with center
M
M
M
and let
B
B
B
be another point in the interior of
k
k
k
. Determine those points
V
V
V
on
k
k
k
for which
∡
B
V
M
\measuredangle BVM
∡
B
V
M
becomes maximal.
geometry
geometry proposed
angles
circle
Maximal