By dividing the number of its sides into 360 degrees
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360/exterior angle = number of sides of a regular polygon
By dividing number of its sides into 360 will give you the exterior angle.
For a regular polygon the internal angle between two sides is (180 - (360/n)) degrees where n is the number of sides. A regular polygon is one where all side lengths and angles are the same.
It is: 360/8 = 45 degrees
You can find the intersection of the angle bisectors or the intersection of the perpendicular bisectors of each side.