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What is the Sum of interior and exterior angle at the vertex of a polygon?
Wiki User
∙ 14y ago
The sum of the interior angles of a polygon with n sides is 180(n-2). Here is my explanation about it.
http://math4allages.wordpress.com/2009/10/21/angle-sum/
Wiki User
∙ 14y ago
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Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior 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.
What is the measure of the exterior angle of a 13 sided polygon if the interior angles vertex is 55 degrees?
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).
What does one interior and one exterior angle of any polygon equal in total?
IF they are at the same vertex, then 180 degrees.
Does the interior and exterior angle of any vertex of a polygon always adds up to 180 degrees?
Yes normally
What type of an interior angle of a polygon and its adjacent exterior angle are complementary?
The interior angle of a polygon and its adjacent exterior angle can never be complementary.
Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior 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.
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
Very rarely.
What is the measure of the exterior angle of a 13 sided polygon if the interior angles vertex is 55 degrees?
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).
What does one interior and one exterior angle of any polygon equal in total?
IF they are at the same vertex, then 180 degrees.
Does the interior and exterior angle of any vertex of a polygon always adds up to 180 degrees?
Yes normally
What type of an interior angle of a polygon and its adjacent exterior angle are complementary?
The interior angle of a polygon and its adjacent exterior angle can never be complementary.
Is the vertex of an angle in its exterior?
It is in the angle itself because in an angle there is the interior (part) the inside of the angle and the exterior (part) outside the angle and the angle itself so the vertex is in the angle it self it is neither exterior or interior
What is the sum of the exterior angles of a polygon with 57 sides?
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°.
What is the interior angle of a 12- sided shape?
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.
Does the measure of an exterior angle at the vertex of a polygon equal the measure of the adjacent interior angle?
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".
How is an exterior angle of a polygon formed?
180 - interior angle = exterior angle
What is the exterior angle of a pollygon?
An exterior angle of a polygon is the supplement of the corresponding interior angle. The exterior angle is the angle between an extended sides of the polygon and the next side of the polygon.
