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The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees. The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees. While the exterior angle at a single vertex is = = 30 degrees. The total exterior angle of a 12 sided polygon is 360 degrees.
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What are the interior angles of a 12 sided shape?
The equation for and interior angle of an n sided shape is (n-2)180/n In this case we have a 12 sided shape. Plugging n=12 into the equation gives us: (12-2)180/12 = 10x180/12 = 150 Thus an interior angle of a 12 sided shape would be 150 degrees.
What is the mesure of one interior angle of a regular dodecagon?
Each interior angle of a regular 12 sided dodecagon measures 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 interior angle of a 12 sided regular polygon?
The measure of each interior angle of a dodecagon, which is a 12 sided regular polygon, is 150o. This is found in any polygon by multiplying 2 less than the number of sides by 180o and then dividing the product by the number of sides. A dodecagon interior angle is then 10 x 180o/12 = 150o.
What is the interior angle sum of a 12 sided polygon?
1800 degrees. (Number of sides - 2) x 180 = (12 -2) x 180 =10 x 180 = 1800
