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A regular hexagon and some irregular ones will tessellate, But in general they will not.
A regular hexagon is a polygon with six sides where all six angles have the same measurement. (And all six sides have the same length.) If the angles of a hexagon do not all have the same measurement, or if the sides are not all of the same length, then the hexagon is irregular.
A regular 6 sided hexagon has no right angles but it's quite possible for an irregular hexagon to have right angles.
In a "regular hexagon" all sides are equal. For an irregular hexagon there are six sides but they aren't all the same length.
This cannot be answered without any given side lengths, since the interior angles of an irregular hexagon are different. Only the angles of a regular hexagon can be found without side lengths, and that is 120 degrees per angle.