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An exterior angle is 360/n, where n is the number of sides in a polygon. For 12 sides, this is 30 degrees.

An easy way to see this is by the matchstick test, a visualization exercise. Start with a regular polygon and a matchstick. Place the matchstick, head first, on one of the sides. Slide it in the direction of the head, turning it as necessary to fit each side.

After you've moved it around the figure, it has rotated exactly once for 360 degrees. On a 12-sided figure it turned 12 times, so 360/12 was the amount of each turn.

For those who can't visualize a matchstick easily, you can use a pencil and it's eraser end.

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Related Questions

What is the measure of an exterior angle of a twelve sided polygon?

If the 12-sided polygon is 'regular', then each of its exterior angles is 30 degrees. Whether the polygon is regular or not, all 12 of its exterior angles still add up to 360 degrees, but they may not all be equal.


Calculate the measure of a central angle of a regular twelve-sided polygon?

30


What is the measure of an interior angle of a regular twelve-sided polygon?

150 degrees


What is the shape of the twelfth figure?

The shape of the twelfth figure is a dodecagon. A dodecagon is a polygon with twelve sides and twelve angles. It is a regular dodecagon if all its sides and angles are equal. The interior angles of a regular dodecagon measure 150 degrees each.


What is the measure of a central angle of a regular twelve-sided polygon?

The measure of a central angle of a regular twelve-sided polygon (dodecagon) can be calculated using the formula ( \frac{360^\circ}{n} ), where ( n ) is the number of sides. For a dodecagon, ( n = 12 ), so the central angle measures ( \frac{360^\circ}{12} = 30^\circ ). Thus, each central angle in a regular dodecagon is 30 degrees.


What is the name of a twelve pentagon sized polygon?

A polyhedron with twelve regular pentagons as sides is called a dodecahedron.


Calculate the measure of a central angle of a twelve sided polygon?

30*


Whats the name of a twelve sided shape?

A dodecagon is a polygon that has twelve sides. A regular dodecagon has twelve internal angles of 150 degrees each.


What is the measure of a central of a regular twelve-sided polygon?

Central is an adjective, not a noun. So the question depends on central what? And since you have not bothered to provide that crucial bit of information, I cannot provide a more useful answer.


What is a twelve sided polygon named?

A twelve sided polygon is called a dodecagon.


Calculate the measure of a central angle of a regular twelve sided polygon?

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What is the name of twelve side polygon?

A twelve sided polygon is called a dodecahedron. No, that is a twelve faced solid (3-D) object. A 12 sided polygon is a dodecagon.