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Question
- does a polygon usually have more sides or more angles? explain.
A polygon is a closed figure with straight sides. By definition, in any polygon, the number of sides is equal to the number of angles. For example, a triangle (3 - sided) has 3 angles, a quadrilateral (4 - sided) has 4 angles, a pentagon (5 - sided) has 5 angles, and so on. This is because each side is associated with one angle at its vertex, and the structure of a polygon (closed, with each vertex having one side coming in and one going out) creates a one - to - one correspondence between sides and angles.
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A polygon has the same number of sides and angles. This is because in a polygon, each side is connected to form a vertex, and at each vertex, there is one angle. For example, a triangle (3 sides) has 3 angles, a quadrilateral (4 sides) has 4 angles, so the number of sides and angles in a polygon is always equal.