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You cannot "solve the kinds of polygons".

There are essentially three types of polygons:

Regular polygons in which each angle is the same and each side is the same.

Irregular convex polygons in which at least one angle or one side are different but there are no reflex angles.

Concave polygons in which there is at least one reflex angle.

Convex and concave are usually defined in terms of whether or not the enclosed space is closed, but the above definitions may be simpler to grasp.

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Q: How do you solve the kinds of polygons?
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