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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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An acute angle is an angle that measures less than 90 degrees.
The largest possible number of acute angles in a shape is dependent on the number of sides the shape has. For example, a triangle can have a maximum of 3 acute angles, while a square can have a maximum of 4 acute angles.
No, a shape cannot have an infinite number of acute angles. As the number of sides of a shape increases, the size of each angle decreases, eventually becoming a straight line and no longer an acute angle.
The minimum number of acute angles a shape can have is 0. A shape with 0 acute angles would be a straight line.
No, all shapes have a combination of acute, obtuse, and/or right angles. A shape with only acute angles would not have any sides longer than the others, which is not possible in a closed shape.