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Can the sum of interior angles of a polygon be 4300 degree Justify?
Wiki User
∙ 9y ago
No, it cannot.
Consider a polygon which has n vertices, where n is an integer greater than or equal to 3.
The sum of the interior angles of such a polygon is 180*(n - 2) degrees.
Since n is an integer, (n - 2) must be an integer and so 180 must be a factor of the sum of the angles.
180 does not divide 4300 and so it cannot be the sum of interior angles.
It is, of course possible for a polygonal shape on a curved surface to have an angle sum of 4300 degrees, but such a shape would not be a polygon.
Wiki User
∙ 9y ago
Wiki User
∙ 9y agoNo because: (4300+360)/180 = 25.888 recurring
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What is the angle sum for a 5 sided polygon?
540 degree for the interior angles
A Regular Polygon has 335 sides What is the degree measure of one interior angle?
360degrees/335 interior angles=1.075degrees
What is the degree of an eight sided polygon?
An 8 sided polygon is an octagon and has exterior angles that add up to 360 degrees and its interior angles add up to 1080 degrees
How many Sides does a polygon have with 175.2 degree angles?
If its a regular polygon and each interior angle measures 175.2 degrees then it will have 75 sides
If the sum of the interior angles of a polygon equals 1080 degree's what is the measure of each interior angle of the polygon?
Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.
What shape has 45 degree interior angles?
There is no such regular polygon with 45 degree interior angles; the smallest interior angles in regular polygons are 60 degrees, which is found in a triangle.
Which polygon has a measurement of 72 degree of the interior angles?
triangle
Can a regular polygon's interior angles measure 40 degrees?
No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.
How do you find the interior angle degree of a polygon?
(n-2)*180 = sum of interior angles when n is the number of sides of the polygon
What is the angle sum for a 5 sided polygon?
540 degree for the interior angles
What is the sum of all the exterior angles and interior angles in a triangle?
Sum of interior angles - 180 degree (each side 60 degree) Sum of exterior angles of a polygon - 360 degree
What is the formula for finding the sum of an interior angle of a polygon?
(n-2)(180) use that formula to find the sum of the interior angles of a polygon in degree
What polygon has the interior angles of 150 degrees?
A regular 12 sided polygon each interior angle measures 150 degrees
A Regular Polygon has 335 sides What is the degree measure of one interior angle?
360degrees/335 interior angles=1.075degrees
What is the degree of an eight sided polygon?
An 8 sided polygon is an octagon and has exterior angles that add up to 360 degrees and its interior angles add up to 1080 degrees
How many Sides does a polygon have with 175.2 degree angles?
If its a regular polygon and each interior angle measures 175.2 degrees then it will have 75 sides
What is the rule for finding out the sum interior angle of a polygon?
To find the sum of the interior angles and the sum of the exterior angles of any polygon. To review linear measurement to the nearest sixteenth of an inch and angle measurement to the nearest degree. To construct a polygon and its exterior angles given the number of sides. hope this helped
