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Exterior Angles of Polygons The Exterior Angle is the angle between any side of a shape and a line extended from the next side.
7 sided polygon exterior angles. The exterior angles of this pentagon are formed by extending its adjacent sides. In the case of a regular heptagon each exterior angle 3607 5142857143 deg. As a demonstration of this drag any vertex towards the center of the polygon.
Since you are extending a side of the polygon that exterior angle must necessarily be supplementary to the polygons interior angle. So you can divide 360 by 7 514 degrees to get the exterior angle. You will see that the angles combine to a full 360 circle.
Sum of angles 7 - 2 180. Now for a regular polygon each exterior angle should have the same value. 360 5 72 x 72 2 of 5 Cant edit this PDF.
Therefore The number of heptagon sides 7. Therefore these angles are formed as in the following diagram. The sum of exterior angles is 360.
For example for a pentagon we have. Measure of each exterior angle of 7 sided polygon 3607. All the sides of a heptagon meet with each other end to end to form a shape.
Here exterior angles x 60 Number of sides 36060 6 Therefore there are 6 sides of the regular polygon. 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. They are Supplementary Angles.
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