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The interior angles of a 12 sided dodecagon add up to 1800 degrees

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Q: The sum of the interior angle measures of a dodecagon is what?
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What are the interior angle measures of a dodecagon?

The sum of the interior angles of a dodecagon is:sum = (12 - 2) x 180o= 1800oIn a regular dodecagon, each of the interior angles is 1800o ÷ 12 = 150o


What is the interior angle of a dodecagon?

The interior angle of a dodecagon is not 1260 that is of a nonagon * * * * * The interior angle of a dodecagon can have any value in the range (0, 360). The only restriction is that the sum of all 12 interior angles (which need not be equal) is 1800 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)


What is the interior angle of a regular dodecagon?

Each interior angle measures 144 degrees* * * * *No! The sum of the exterior angles of a polygon is always 360 degrees - no matter how many sides, So the extrior angle of a regular dodecagon is 360/12 = 30 degrees. Since the interior and exterior angles are supplementary, the interior angle is 180-30 = 150 degrees.


What is the sum of the measures of a dodecagon?

It depends on what the measures relate to: lengths of sides, interior angles, exterior angles, ...


Vertex angle of regular 12 gon measures 144 degrees?

No: The sum of the exterior angles of a polygon is 360o. For a dodecagon (12 sides) the exterior angle is 360o / 12 = 30o. The interior and exterior angles are supplementary and so they sum to 180o; thus the interior angle of a dodecagon is 180o - 30o = 150o. For an interior angle of 144o, the exterior angle is 180o - 144o = 36o, so there are 360o / 36o = 10 sides (a decagon).


How to Find the sum of the interior angle measures and the sum of the exterior angle measures of a quadrilateral?

360 degrees


What is the of the measures of the interior angles of a dodecagon?

The sum of the interior angles is (12-2)*180 = 1800 degrees. But within that constraint, each angle can be anything between (but excluding) 0 and 360 degrees.


What is the sum of the measures of the interior angles of a dodecagon?

The sum of the interior angles of an n-sided polygon is (n-2)x180. For a dodecagon n=12, so the sum of the interior angles is: (12-2)x180o = 10 x 180 degrees = 1800 degrees


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 sum of the interior angle measures of an octagon?

1,080


What is the sum of the measures of all the interior angles of the do decagon?

The interior angles of a 12 sided dodecagon add up to 1800 degrees