What is the largest possible number of acute angles

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The discussion centers on the maximum number of acute angles in a 2001-gon, emphasizing that the measurement method affects the outcome. It is noted that if external angles at concave vertices are considered, a configuration can yield up to 2000 acute angles, with the potential for a 2001st angle. Additionally, it is stated that a 2001-gon can be constructed with 1334 acute internal angles, highlighting the complexity of angle measurement in polygon geometry.
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What is the largest possible number of acute angles that a 2001-gon (shape with 2001 sides) can have if no two sides cross each other [?]
 
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Depends on how you measure the angles.

If the angle at a concave vertex is measured externally to the polygon, then I can give you 2000 acute angles, and can probably give you the 2001-st as well.

Hurkyl
 
It is possible to make a 2001-gon with 1334 acute internal angles.
 

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