Question: How Many Sides Does A Polygon Have If Each Exterior Angle Is 12?

How many sides does a polygon have if each exterior angle is 30?

12Explanation: Sum of exterior angles of every polygon irrespective of number of its sides is 360o .

As it is a regular polygon, all exterior angles are equal and are 30o .

Hence number of sides of the polygon is 360o30o=12 ..

What is the exterior angle of a 12 sided shape?

Explanation: For a regular n -gon, the measure of an exterior angle is 360˚n . Since a dodecagon has 12 sides, an exterior angles is 360˚12=30˚ .

How do you find the angle of a 12 sided polygon?

The interior angles of a dodecagon are a bit harder. You can use this generic formula to find the sum of the interior angles for an n-sided polygon (regular or irregular): Sum of interior angles = (n-2) x 180° Sum of interior angles = 10 x 180° = 1800°

What is the exterior angle of a hexagon?

A rule of polygons is that the sum of the exterior angles always equals 360 degrees.

What is the measure of one outer angle of a 12 sided polygon?

So all you do to get the exterior angle is divide 360 by the number of sides. Often, you want the Interior angle of the regular polygon. To get that, just subtract the exterior angle from 180 degrees. In the case of 12 sides, 180 – 30 = 150 degrees.

What’s a 13 sided shape called?

tridecagonIn geometry, a tridecagon or triskaidecagon or 13-gon is a thirteen-sided polygon.

What do you call a 12 sided shape?

dodecagonIn geometry, a dodecagon or 12-gon is any twelve-sided polygon.

How many sides does a regular polygon have if the exterior angle is 45?

8Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .

What is the exterior angle of a 20 sided polygon?

Regular PolygonsSidesNameExterior Angles18Octdecagon20.00°19Enneadecagon18.95°20Icosagon18.00°30Triacontagon12.00°25 more rows

What is the size of an exterior angle of a regular polygon with 12 sides?

The total exterior angle of a 12 sided polygon is 360 degrees.

How many sides does a regular polygon have if each exterior angle is 10?

36 sidesIf the exterior angle of polygon is 10o then the interior angle must be 170o . In order to find the value of the interior angle of a regular polygon the equation is (n−2)180n where n is the number of sides of the regular polygon. Therefore the polygon has 36 sides.