An irregular polygon
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They may, or may not, be equal. If you are talking about a regular polygon, all angles are equal in measure. If it is not a regular polygon, the angles are most likely different.
There is no particular name. It need not be a regular polygon - for example, consider a stretched hexagon.
Any regular polygon with an even number of sides will have opposite angles of equal measure.
A regular polygon with an even number of sides.
A 6 sided hexagon polygon can be regular or irregular.