Interior Angles Of An Octagon

To see how it works first draw yourself an octagon it doesn t have to be perfect. A regular octagon is an octagon whose sides are equal in length and whose interior angles are equal in measure. However an octagon is not necessarily regular if the interior exterior angles are a certain size.

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Now pick any corner of that octagon and then draw a line from each of the other corners of the octagon to that corner.

Interior angles of an octagon. As with all polygons the external angles total 360. Its interior angles add up to 3 180 540 and when it is regular all angles the same then each angle is 540 5 108 exercise. Since each of the eight interior angles in a regular octagon are equal in measure each interior angle measures 1080 8 135 as shown below.

So the sum of the interior angles of an octagon is 1080 degrees. The sum of all the internal angles of any octagon is 1080. Make sure each triangle here adds up to 180 and check that the pentagon s interior angles add up to 540 the interior angles of a pentagon add up to 540.

Each exterior angle for a regular octagon has an equal measure. An octagon can be regular if all the sides are the same length and all the angles are the same. There s a simple way to calculate the sum of all the interior angles of an octagon or any polygon.

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