Advanced Geometric Problem & Solution (Twice a week update) Now 4820 problems posted.
<Polygon 2023-262>, hexagon diagonals
,<Japan Junior M.O. 2009>
The angle formed by any two diagonals , and of the convex hexagon is . Prove thatA polygon is convex if all of its interior angles are less than .
, and 
of the convex hexagon 
is 
. Prove that
A polygon is convex if all of its interior angles are less than 
.
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