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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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12y ago

What else can I help you with?