must be- 2.0454545 because the question is not right.
With a regular polygon: 360/exterior angle = number of sides
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
360/number of sides = exterior angle
The exterior angle of a polygon is related to the number of sides it has. The formula for the exterior angle of a regular polygon is ( \text{Exterior Angle} = \frac{360}{n} ), where ( n ) is the number of sides. If the exterior angle is 72 degrees, then ( n = \frac{360}{72} = 5 ). Therefore, the polygon is a regular pentagon, which has five sides.
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
by the number of sides, 'n' of that particular polygon. by the exterior angle. Therefore, the number of sides of the polygon is 24 sides.
By dividing number of its sides into 360 will give you the exterior angle.
360/exterior angle = number of sides of a regular polygon
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.
360/number of sides = each exterior angle