Here’s one method, not fully accurate, of constructing a pentagon. There is another method, using only 2 instruments, which I can’t find at present. If interested, I’ll draw it for you.
This method uses a square piece of paper.
Here’s a way to construct a heptagon, using 7 equal length rods. The page shows a less accurate method of construction, using a cord.
Here’s an enneagon:
These diagrams are from a book by Miranda Lundy, entitled “sacred geometry”. Your knowledge of maths, far exceeds mine, Marv

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