It is: 180-vertex angle = exterior angle
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees. The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees. While the exterior angle at a single vertex is = = 30 degrees. The total exterior angle of a 12 sided polygon is 360 degrees.
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
It is: 180-vertex angle = exterior angle
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.
No. It forms the angle and so is neither in the interior nor the exterior.
20 degrees
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
At each vertex of a triangle, an exterior angle of the triangle may be formed by extending ONE SIDE of the triangle.
Very rarely.
40
60 degrees.
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
80 degrees.
With exterior angles measured as in the related link (extending an imaginary line out from the vertex, so that the interior and exterior at the vertex add to 180°), the sum of exterior angles of any polygon is 360°: Interior / Exterior ______/............. Now if you are saying the exterior angle is all the way around the vertex, then you need to add 180° for each vertex. So 360° + 57*(180°) = 10620°.