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Give the formulas for finding the number of sides of a regular polygon when given the measure of an interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
What is the number of sides of a regular polygon if one angle measures 140 degrees?
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.
What is the exterior angle of a regular 8 sided polygon?
The measure of 1 exterior angle of a regular 8-sided polygon is equivalent to 45 degrees. Hope I helped! :)
Find the number of sides a regular polygon must have to meet each condition each exterior angle measure is one eigth the measure of each interior angle?
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
What is the formula to find the sum of the measures of the exterior angles one at each vertex of a polygon?
If it's a regular polygon: 360/number of sides = each exterior angle
How do you work out the number of sides in a regular polygon that has an exterior angle?
With a regular polygon: 360/exterior angle = number of sides
How do you work out the exterior and interior angles of a regular polygon with W 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)
What is the formula for the exterior angle of a regular polygon?
360/number of sides = exterior angle
What is the formula on how to get the measure of the exterior angle of the regular polygon?
360/number of sides = exterior angle
What is an exterior angle of a regular n sided polygon?
360/number of sides = exterior angle
What shape is the polygon with an exterior of 72?
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.
How do you find a exterior angle?
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
how many sides does a regular polygon have if the exterior angle is 15?
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.
How do you find exterior angle of a regular polygon?
By dividing number of its sides into 360 will give you the exterior angle.
What is the formula to find the sides of a regular polygon?
360/exterior angle = number of sides of a regular polygon
How many sides does a regular polygon have with an exterior angle of 32.72?
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.
What is the formula on finding each exterior angle of a regular polygon?
360/number of sides = each exterior angle
