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It depends on what the angles are. If any of the angles have measurements greater than 180 degrees, it is concave. If all angles are less than 180 degrees, then it is concave. For example, a regular hexagon has six 120 degree angles, so it is convex. If there was a hexagon with five 90 degree angles and one 270 degree angle, it would be concave.

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Q: Is a hexagon a convex figure?
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