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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.

Q: Is an equiangular polygon the same as regular polygon?

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Yes, a regular polygon is always equiangular.

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.

Regular polygon is equilateral and equiangular. Irregular polygon is non-equilateral and non-equiangular.

It is a regular polygon

A rectangle, for example.

Related questions

Yes, a regular polygon is always equiangular.

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.

Regular polygon is equilateral and equiangular. Irregular polygon is non-equilateral and non-equiangular.

A polygon is regular when all its sides are the same length and its internal angles are the same. It is said to be equilateral and equiangular, and that is what a polygon is when it is regular.

A regular polygon is a polygon which is equiangular (all angles are the same) and equilateral (all sides have the same length).

A regular polygon must be equiangular as well as equilateral. A rhombus is an example of a polygon that is equilateral but not equiangular.

A regular polygon is always equiangular.

It is a regular polygon

regular polygon ^____^

The polygon, as described in the question, is an equilateral polygon. If, in addition to this, all its angles have the same measure then the polygon is said to be regular. Polygons can be equilateral or equiangular or both (regular). The one exception is a triangle where equilateral implies (and is implied by) equiangular.

It is a regular polygon

A rectangle, for example.