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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).

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βˆ™ 15y ago
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Freddie Ives

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βˆ™ 3y ago

Sorry its 11 years late, but the answer is 360ΒΊ

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Q: What is the exterior and interior angle of a shape with 12 sides?
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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 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.


What is the rule to get the number of sides of a regular polygon when given the interior angle?

180-interior angle = exterior angle 360/exterior angle = number of sides


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 measures of an interior angle and an exterior angle of a regular polygon with 6 sides?

Interior angle = 120 degrees Exterior angle = 60 degrees


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


What is the interior and exterior angle of a regular 100-pentagon?

There's no such shape because a pentagon has only 5 sides. If you meant a regular 100 sided polygon then the answers are:- Exterior angle: 3.6 degrees Interior angle: 176.4 degrees


What is the exterior and interior angles of a regular polygon with 30 sides?

Exterior angle 12 degrees Interior angle 168 degrees


What is the interior and exterior angle of a regular polygon with 24 sides?

Each interior angle is 165 degrees Each exterior angle is 15 degrees


What are the interior and exterior angles of a regular polygon?

If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.


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


What is the exterior and interior angles of a polygon with 30 sides?

A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.