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For any regular polygon, where 'n' is the number of sides, each interior angle is [(180n - 360)/n], or rearranging to deal with smaller quantities, [180-360/n]. So for n=8 you get 180-45 = 135.

Number of interior angles in an octagon = 8

Therefore, each interior angle is 135.

Draw a circle, then two diameters at right angles (a cross centered in the circle). That gives you four vertices on the circle (one at the end of each diameter). Now bisect each of the cross angles with two more diameters.

Now you have cut the circle into 8 equal sections like a pie. Connect the ends of each section and you have an octagon.

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13y ago

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