Because if you measure the angle in degrees, it is always 360 degrees. And 360 happens to be a multiple of 9.
However, to students of advanced mathematics, the angle at the centre would always be 2*pi radians which is not a multiple of 9.
the center angle of any polygon is 360 degrees
360 divided by 3012
The exterior angles of any polygon always add up to 360 degrees.
An exterior angle of a polygon is the supplement of the corresponding interior angle. The exterior angle is the angle between an extended sides of the polygon and the next side of the polygon.
An internal angle of the polygon.
Any polygon with 4 or more sides can always have a right angle.
the center angle of any polygon is 360 degrees
an Apothem
an angle whose vertex is the center of the polygon and whose sides pass through adjacent vertices.
The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.
360 divided by 3012
equal to 180°
They tessellate because one of their interior angles is exactly 120 degrees provided that it is a regular polygon. Since this is exactly a third of a full circle, three of them will always create a 360 degree angle in the center. When you repeat this pattern, they form multiple 360 degree angles, which forms a tessellation. This is true with any polygon that has an interior angle that is a factor of 360, and this is why pentagons do not tessellate.
The angle sum of a polygon is always 360 degrees. If all angles are equal, then each angle is 18 degrees. Simply divide 360 by 20.
A chevron. Basically, any polygon with an acute angle whose vertex points to the center of the shape.
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 exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.