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International Contests
Nordic
1999 Nordic
2
2
Part of
1999 Nordic
Problems
(1)
maximal number of 120^o angles in specific 7-gons
Source: Nordic Mathematical Contest 1999 #2
10/3/2017
Consider
7
7
7
-gons inscribed in a circle such that all sides of the
7
7
7
-gon are of different length. Determine the maximal number of
12
0
ā
120^\circ
12
0
ā
angles in this kind of a
7
7
7
-gon.
maximum
polygon
angle
geometry