By dividing the given exterior angle into 360 degrees tells you how many sides the polygon has.
180-interior angle = exterior angle 360/exterior angle = number of sides
Since the interior angle measure of the regular polygon is 140⁰, its exterior angle measure is 180⁰ - 140⁰ = 40⁰. Since the sum of the exterior angle measures is 360⁰, the polygon has 360⁰/40⁰ = 9 sides.
The measure of 1 exterior angle of a regular 8-sided polygon is equivalent to 45 degrees. Hope I helped! :)
An exterior angle of a regular polygon and its corresponding interior angle = 180° If an exterior angle is 1/8 of the interior angle (A) then A + A/8 = 180 : 9A = 1440 : A = 160 Each exterior angle is thus 180 -160 = 20° The number of sides = 360 ÷ exterior angle = 360 ÷ 20 = 18
Each exterior angle measures 36 degrees
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
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.
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.
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
360/number of sides = each exterior angle