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Is it possible for the sum of the internal angles of a polygon to be 5400 degrees?
# Any exterior angle of a polygon corresponds to an interior angle, and their sum is 180 degrees. # If there are n sides (and therefore n vertices) then the sum of all the interior and exterior angles must be 180n. # The external angles of a polygon total 360 degrees, else it could not be a closed shape. # From the above three points, it follows that the sum of interior angles is given by 180n - 360. So, if there is an integer solution to 180n - 360 = 180(n - 2) = 5400, then the answer to your question is yes. 180(n - 2) = 5400 n - 2 = 30 n = 32 A polygon with 32 sides fulfills the criterion. That would be, hmmm, a triacontakaidigon, of course.
What else can I help you with?
How many sides does a polygon have with angles of 12 degrees?
Any polygon can have two interior angles of 12 degrees. No polygon can have all its interior angles of 12 degrees.
Is it possible to have a regular polygon be concave.. why or why not?
No. It is impossible.The definition of a regular polygon is a polygon with equal angles, and equal sides.For a polygon to be concave, it has to have at least one angle more than 180 degrees, and a a polygon cannot consistently have angles more than 180 degrees.
Do the angles of a polygon have to add to 360 degrees?
The exterior angles of a polygon add up to 360 degrees.
Is There 250 degrees in the sum of the interior angles of a polygon.?
There is no such polygon whose interior angles add up to 250 degrees.
What shape is a convex hexagon?
A convex hexagon is a simple polygon whose interior is a convex set. It is a six-sided polygon, and it has no angles pointing inwards, meaning that no internal angles can be more than 180 degrees.
What polygon has 144 degree sides?
A polygon with internal angles of 144 degrees is a dodecagon, which has 12 sides. In this case, each internal angle measures 144 degrees, and the sum of the internal angles for a dodecagon is 1,440 degrees (calculated as (12-2) × 180). This type of polygon can be regular if all sides and angles are equal.
How many degrees are in a 12 sided polygon?
1800 degrees (that is the sum of the internal angles of the 12-sided polygon).
Is a star a convex polygon?
No. In a convex polygon, all the internal angles are smaller than 180 degrees.
Is it possible to have a polygon whose interior angles is 870 degrees?
no
Is it possible for a regular polygon to have interior angles of 112 degrees?
No.
How does the Number of sides of a polygon affect the total of internal angles?
The addition of an extra side increases the total of the internal angles by 180° The sum of the internal angles of a polygon = (number of sides - 2) × 180°
What is angel of eight sided polygon?
An eight-sided polygon, or octagon, has internal angles that sum to 1,080 degrees. Each internal angle of a regular octagon measures 135 degrees, as it is calculated by dividing the total sum of the internal angles (1,080 degrees) by the number of angles (8). Therefore, in a regular octagon, each angle is equal and contributes to the polygon's symmetrical shape.
What is the sum of the degrees of the internal angles of a tetradecagon?
For any n-sided regular polygon, the sum of the internal angles of the polygon is equal to (n - 2) x 180. In this instance, the sum of the internal angles of a 14-sided shape is equal to (14 - 2) x 180 = 2160 degrees.
The sum s of the measures of angles in a polygon of n sides?
The sum of the internal angles of a polygon of n sides is (n-2)*180 degrees.
Is there is relation between sides of polygon and angles of that polygon?
Yes. Internal angles of an n-sided regular polygon total 180n -360 degrees, usually expressed as (2n - 4) right angles
Angle sum of a 100 polygon?
External angles would total 360 degrees; internal angles would total 14,400 degrees.
What is the sum of all the internal angles of an 8-sided polygon?
The interior angles add up to 1080 degrees
