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The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.

The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.

The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.

The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.

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Q: What is the sum of the exterior angles of a non convex polygons?

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No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.

A non convex polygon would have an exterior angle less than 90 degrees making it look concave at that vertex.

The exterior angles of a REGULAR 15-gon are 204o, so the sum would be 3060o. This remains true for non-regular 15-gons as well (the exterior angle sum, not the exterior angles).

Such is called an exterior angle. A useful theorem is that an exterior angle is equal to the sum of its non adjacent interior angles.

Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right,

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No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.

Non-existent in ordinary shapes.

A non convex polygon would have an exterior angle less than 90 degrees making it look concave at that vertex.

they are angles that are wierd and dont make angles that are angles to 360 degrees and make non-angles to make angles

Not all polygons are regular by definition. An irregular polygon may have non-congruent sides or non congruent angles or both. A regular polygon will always have both congruent sides and angles.

Yes, the angle sums will be the same regardless of whether or not it is a convex polygon.

it has a number of faces, vertex and edges -- The angles are not all the same

In a non-convex (or concave) polygon, at least one interior angle is a reflex angle. An alternative definition is that if you take any two points inside a conves polygon, the line joining them is wholly inside the polygon.

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.

A non-convex polygon is any polygon with at least one interior angle measuring at least 180 degrees. . A polygon is defined as an area enclosed by 3 or more line segments connected at their endpoints. Basically, the figure needs to be completely closed in, have no extra lines or part of lines coming out of it, and no curves. For a polygon to be convex all of its interior angles need to measure less than 180 degrees. =D

The exterior angles of a REGULAR 15-gon are 204o, so the sum would be 3060o. This remains true for non-regular 15-gons as well (the exterior angle sum, not the exterior angles).

A non convex is a concave and a convex is differently shaped

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