With a regular polygon: 360/exterior angle = number of sides
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.