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Q: How do you work out the number of sides in a regular polygon that has an exterior angle?

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360/number of sides = exterior angle

Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)

360/number of sides = exterior angle

360/number of sides = exterior angle

180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle

By dividing number of its sides into 360 will give you the exterior angle.

360/exterior angle = number of sides of a regular polygon

360/number of sides

360/number of sides = each exterior angle

360/number of sides = each exterior angle

exterior angle of regular polygon is always 360 divided by number of sides, so number of sides = 360 divided by exterior angle, in this case 360/32.72 ie 11.

By dividing the given exterior angle into 360 degrees tells you how many sides the polygon has.

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