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A rectangle has 4 equal angles but is not a regular polygon.
So I would say no.
However, I cannot think of another polygon that disobeys the rule...?!
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Think laterally. Literally laterally!
Consider any regular polygon. Select a side and move it in (or out) parallel to itself. Stretch or truncate it as required. You will then have a polygon that remains equiangular but is no longer equilateral - and so not regular.
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Is a regular polygon always equiangular?
Yes, a regular polygon is always equiangular.
What is the difference between an equiangular polygon and a regular polygon?
The term regular polygon is almost always used to refer to a polygon that has equal interior angles and equal side lengths. In that light, the equiangular polygon and a regular polygon are the same thing.
What is the difference between a regular polygon and non regular polygon?
Regular polygon is equilateral and equiangular. Irregular polygon is non-equilateral and non-equiangular.
What is an equiangular polygon that is not a regular polygon?
A rectangle, for example.
What is a polygon that is both equilaterial and equiangular?
It is a regular polygon
