I find the exterior angles to be easier to figure out. An exterior angle is the change in direction at a vertex as you go around the polygon. The sum of all the exterior angles is  For a regular dodecagon, with , off course. Each interior angle is supplementary to an adjacent exterior angle, so in this case, each interior angle would measure
That last formula can also be thought as coming from the fact that all the interior angles add up to the angles of the triangles you can make by connecting one vertex (choose any) to the other vertices with straight lines. Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App Suggest Corrections |
What is the measure of an exterior angle of a regular decagon
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