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The exterior angles of a polygon add up to 360. To find the value of a given exterior angle of a regular polygon simply divide 360 by the number of sides or angles that the polygon has.

Interior And Exterior Angles Of Polygons Ws Exterior Angles

They are supplementary angles.

Exterior angles of a regular polygon. Sum of the exterior angles of a polygon. The angles of a regular polygon are equivalent and their sides are as well. Angle q is an interior angle of quadrilateral quad.

Find the sum of interior angles of different polygons. Asked in math and arithmetic. Angles of a polygon.

The exterior angle is the angle between any side of a shape and a line extended from the next side. How many sides has the poly gon. You may need to find exterior angles as well as interior angles when working with polygons.

Formula for sum of exterior angles. Donate or volunteer today. Asked may 7 2020.

Find the sum of interior angles of different polygons. As a demonstration of this drag any vertex towards the center of the polygon. The sum of the measures of the exterior angles of a polygon one at each vertex is 360.

An exterior angle of a regular polygon is 45. This is the currently selected item. So each exterior angle is 360 divided by the n the number of sides.

So for a 24 gon each one would be 15 degrees. How many sides has the poly gon. As you can see for regular polygons all the exterior angles are the same and like all polygons they add to 360 see note below.

Khan academy is a 501 c 3 nonprofit organization. The sum of the exterior angles of a regular polygon will always equal 360 degrees. Explain it clearly easy to understand and showing step by step.

When we add up the interior angle and exterior angle we get a straight line 180. A regular 6 sided polygon has exterior angles of 60o 360o 6 if it is not regular and one interiorangleis 140o then the exterior angle at that vertex is 40o 180 40. An exterior angle of a polygon is an.

Each exterior angle of a n gon is 360 n degrees. Exterior angles of a polygon. A polygon is any flat shape with straight sides.

All the exterior angles of a polygon add up to 360 so. An exterior angle of a regular polygon is 45. An interior angle of a polygon is an angle inside the polygon at one of its vertices.

In the figure above check regular. Each exterior angle must be 360 n where n is the number of sides press play button to see.