The exterior angles of a polygon always total 360 degrees. That
doesn't even depend on how many sides the polygon has.
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
It is: 180-vertex angle = exterior angle
A chevron. Basically, any polygon with an acute angle whose vertex points to the center of the shape.
They add up to 360 degrees
The sum of the exterior angles of any polygon is 360 degrees. To demonstrate simply that this is so, imagine you are to run the distance of a polygon. Beginning at vertex A, you run some distance, then turn some amount. This continues until finally you have made a complete loop around the track, turning a full 360 degrees. The sum of those exterior angles is always 360 degrees for any polygon.
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
A non convex polygon would have an exterior angle less than 90 degrees making it look concave at that vertex.
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.
Very rarely.
These terms describe polygons. To identify a polygon as convex, we draw a segment from any vertex to any other vertex. This segment cannot go outside of the polygon. Non-convex is concave. If we draw a segment from a vertex to any other vertex, at least one of the segments will go outside of the polygon.
The exterior angles of any polygon always add up to 360 degrees
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.
If an interior angle is 55 deg, the corresponding exterior angle is 125 deg. This has nothing to do with the number of sides of the polygon (unless it is a regular polygon).
It is: 180-vertex angle = exterior angle
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°.
The sum of an adjacent interior and its exterior angle will total to 360°. If the angles were to be equal, they would both have to be 180°. An angle of 180° is a straight line. A polygon may be composed of straight lines that intersect at vertices but a straight line has no vertex. That being the case, the answer to your question is "No".
The exterior and interior angles of each vertex of a polygon add up to 180 degrees.