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Measuring implies using a measuring device of some kind. If you mean to construct a hexagon without a protractor or ruler, that's different. Constructions in geometry require only a compass and a straightedge (a ruler, but you ignore the numbers).

A hexagon can be made of 6 equilateral triangles; choose any length for the side and construct them connected together, using only the compass to set the length and the straightedge to draw straight lines between points.

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Q: How can you measure a hexagon with no protractor or ruler?
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