Exterior Of A Regular Polygon
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Thus we can generalize in both the cases of a regular and an irregular polygon that the exterior angle of a polygon is given by 360n where n is the number of sides of the polygon.
Exterior of a regular polygon. In the present case there 5 sides in a regular pentagon hence each exterior 3605 or 72 degrees. The sum of the exterior angles of a regular polygon irrespective of the number of sides is 360 degrees. A regular polygon with 5 sides has 5 exterior angles.
The sum of the exterior angles of a polygon is 360. If N is the number of sides each exterior angle will be 360N degrees. So each exterior angle is 360 divided by the n the number of sides.
For a quadrilateral n 4. We can see that all the exterior angles of a polygon have a total sum of 360. For a triangle n 3.
The formula for calculating the size of an exterior angle is given below. The sum of the measures of the exterior angles of a polygon one at each vertex is 360. 9 rows The formula to calculate each exterior angle of a regular polygon.
Since the polygon is regular the measure of all the interior angles is the same. For both regular and irregular polygons it is to be noted that the sum of each interior and the exterior angle on a side of the polygon equals 180 since they form a linear pair. The sum of the exterior angles of a polygon is 360.
How to Find the Exterior Angle of a Regular Polygon. Interior And Exterior Angles Of Polygons Wild Country Fine Arts. Exterior angle of polygons The measure of each exterior angle 360n where n number of sides of a polygonOne important property about a regular polygons exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360.
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