A regular or irregular polygon is a plane shape with straight sides.
Measure the internal angle of all corners using a protractor.
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It is: (5040+360)/180 = 30 sides
You have to measure it - or have a lot more information that is given in this question.
The sum of the interior angles of a polygon with n sides is 180*(n-2) degrees. If the polygon is equiangular (ie all its angles are the same) then each of them is 180*(n-2)/n degrees.
Suppose the polygon has V vertices.Then sum of interior angles is (V - 2)*180 degrees = 1980 degrees => V - 2 = 1980/180 = 11 => V = 13 A polygon with V vertices has V*(V-3)/2 = 13*10/2 = 65 diagonals.
Each exterior angle 45 degrees Each interior angle 135 degrees
It is: (5040+360)/180 = 30 sides
You have to measure it - or have a lot more information that is given in this question.
The sum of the interior angles of a polygon with n sides is 180*(n-2) degrees. If the polygon is equiangular (ie all its angles are the same) then each of them is 180*(n-2)/n degrees.
There is no way to work out the angles in a general polygon. The sum of the interior angles of a polygon, with n sides, is (n-2)*pi radians [or (n-2)*180 degrees]. Therefore, if you know the measure of n-1 angles, you can work out the size of the nth angle.Alternatively, if the polygon is one of the rare type - a regular polygon - then all its angles are equal. In that case, you can divided the above sum by n.
Nope, sorry honey. A regular polygon has all interior angles equal, so if one angle is 158 degrees, all angles would have to be 158 degrees. But the sum of interior angles in a polygon is (n-2)*180 degrees, where n is the number of sides. So for a regular polygon with angles of 158 degrees, you'd need n=11 sides, which doesn't work because a regular polygon must have at least 3 sides.
Each exterior angle 45 degrees Each interior angle 135 degrees
Suppose the polygon has V vertices.Then sum of interior angles is (V - 2)*180 degrees = 1980 degrees => V - 2 = 1980/180 = 11 => V = 13 A polygon with V vertices has V*(V-3)/2 = 13*10/2 = 65 diagonals.
If the polygon has n sides (or vertices) each exterior angle is 360/n. Each interior angle = 180 - exterior angle = 180 - 360/n
The equation for the total interior angles of a polygon is (n-2)x180. In this case, the shape has 56 sides. Thus, to work out the total interior angles of the shape you do: (56-2)x180 =54x180 =9,720. Therefore the total interior angles for a 56 sided shape is 9,720.
The sum of the interior angles of a polygon is (n-2)*180 degrees = 5*180 = 900 degrees.
To work out the number of sides, this polygon has to be a regular polygon in which all the interior angles are the same A regular polygon has exterior angles of 10o, therefore it must have interior angles of 180o - 10o = 170o Total interior angles = (Number of sides - 2)x180o Therefore each interior angle = [(Number of sides - 2)x180o]/Number of sides n = number of sides 170o = [(n-2)x180o]/n 170no = 180no-360o 360o = 10no n = 360o/10o n = 36
Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)