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A shape with an exterior angle of 30 degrees can be a regular polygon, specifically a hexagon. The exterior angle of a polygon can be calculated using the formula ( \frac{360}{n} ), where ( n ) is the number of sides. For an exterior angle of 30 degrees, the polygon would have 12 sides (since ( n = \frac{360}{30} = 12 )), making it a dodecagon.
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What is the name of the shape that has 12 degrees as its exterior angle?
The shape with an exterior angle of 12 degrees is a dodecagon, which is a polygon with 12 sides. The exterior angle of a regular polygon can be calculated using the formula (360/n), where (n) is the number of sides. For a dodecagon, (360/12 = 30) degrees for each interior angle, which corresponds to 12 degrees for the exterior angle. Thus, the shape is indeed a dodecagon.
What is the size of an exterior angle of a dodecagon?
Providing it's a regular 12 sided shape it's 360/12 = 30 degrees
What is the measure of each interior angle and exterior of regular dodecagon?
Each exterior angle = 360/12 = 30 degrees. Each interior angle = 180 - 30 =150 degrees.
What is the measure of each exterior angle of regular 12 sided polygon?
Each exterior angle measures 30 degrees
What is the measure of an angle of a regular dodecagon?
Interior Angle: 150 degrees (Interior Angle Sum: 1800) Exterior Angle: 30 degrees (Exterior Angle Sum: 360)
One exterior angle of a regular polygon measures 30 what is the sum of the polygons exterior angle measures?
If the exterior angle is 30o then the shape has 360/30 = 12 sides. An interior angle = 180 - exterior angle = 180 - 30 = 150. Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.
What is the name of the shape that has 12 degrees as its exterior angle?
The shape with an exterior angle of 12 degrees is a dodecagon, which is a polygon with 12 sides. The exterior angle of a regular polygon can be calculated using the formula (360/n), where (n) is the number of sides. For a dodecagon, (360/12 = 30) degrees for each interior angle, which corresponds to 12 degrees for the exterior angle. Thus, the shape is indeed a dodecagon.
What shape has 150 in each interior angle?
If the interior angle is 150° then the exterior angle measures 180 -150 = 30°. The sum of the exterior angles of a regular or convex polygon = 360° The number of sides is therefore 360/30 = 12 sides The shape is a dodecagon.
How many sides does an equiangular polygon have if the measure of an angle of the polygon exceeds four times the measure of one of it's exterior angles by 30?
Interior angle + Exterior angle = 180 So Interior angle = 180 - Exterior angle Interior angle = 4*Exterior angle + 30 Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30 Collect like terms: 150 = 5*Exterior angle Divide by 5: Exterior angle = 30 deg Therefore number of sides = 360/30 = 12
How many sides does a polygon have if the exterior angle is 30?
If its a regular polgon and each exterior angle is 30 degrees then it will have 360/30 = 12 sides
What is the exterior angle of a duodecagon?
Providing that it is a regular duodecagon each exterior angle measures 30 degrees
What is the size of an exterior angle of a dodecagon?
Providing it's a regular 12 sided shape it's 360/12 = 30 degrees
A regular polygon an exterior angle of 30 What is the size of the interior angle?
Exterior angles are supplementary with interior angles, so 180-30=150
What is the measure of each interior angle and exterior of regular dodecagon?
Each exterior angle = 360/12 = 30 degrees. Each interior angle = 180 - 30 =150 degrees.
What is the exterior and interior angle of a shape with 12 sides?
If this shape is a regular 12-sided polygon, then the sum of its angles is 1,800 degrees [(n -2)180]. So the measure of one angle is 150 degrees (1,800/12), and the exterior angle is 30 degrees (180 - 150).
What is the measure of each exterior angle of regular 12 sided polygon?
Each exterior angle measures 30 degrees
What is the measure of an angle of a regular dodecagon?
Interior Angle: 150 degrees (Interior Angle Sum: 1800) Exterior Angle: 30 degrees (Exterior Angle Sum: 360)
