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It depends on how they are classified.

They can have 1 to 4 acute angles,

they can have 1 to 4 right angles,

they can have 1 to 5 obtuse angles.

The individual values of the angles will generate different pentagons.

They can be regular or irregular.

They can be convex or concave.

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Q: How many different types of pentagons are there?
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