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Q: What is the exterior angle of a 30 sided polygon?

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Providing that it is a regular 12 sided polygon then each exterior angle measures 30 degrees

30

Each exterior angle measures 30 degrees

For the 12-sided polygon, each exterior angle is 30 degrees (360/12).

Exterior angle: 12 degrees Interior angle: 168 degrees

360/12 = 30 degrees

360/12 = 30 degrees

Exterior angle: 360/12 = 30 degrees Interior angle: 180-30 = 150 degrees

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.

Each exterior angle of a regular 12-gon measures 30 degrees.

AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon

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.

Each exterior angle measures 30 degrees Each interior angle measures 150 degrees

Sum of exterior angles = 360 degrees If each one is 12 deg there must be 360/12 = 30 of them. So it is a 30 sided polygon.

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

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

No such regular polygon exist so it has to be some kind of irregular polygon but if each exterior angle was 30 degrees then it would be a regular 12 sided polygon

168

If each exterior angle is 30 degrees the polygon has 360/30 = 12 sides.

30 * 180 - 360 = 5040

If its a regular polgon and each exterior angle is 30 degrees then it will have 360/30 = 12 sides

12

Exterior angles are supplementary with interior angles, so 180-30=150

360 divided by 3012

30*