Exterior angles are acute because each angle measures 60 degrees
Interior angles are obtuse because each angle measures 120 degrees
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They can be but they don't have to be. If they are, then it's called a "regular" hexagon.
Yes they are (at least, in a regular hexagon).
All the interior angles in a hexagon are 120 degree's, making them obtuse angles.
If it is a 'regular' hexagon, then all angles are congruent, and all are obtuse.
A polygon with 6 equal sides is called a regular hexagon (regular if it has all angles equal).