The whole shape has 540 degrees in it. To work out the amount of degrees in any shape - total degrees in shape = ((180 x number of sides of shape) - 360)
Divide 360 by the number of sides, then subtract the quotient from 180 to get the angle in degrees.
The sum of the measures of the interior angles is (n-2)*180 degrees, where n is the number of sides. Thus, if the sum of the interior angles is S, then n = S/180 + 2
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.
In any polygon, the sum of the angles is given by the formula:a = 180(n-2) where a = sum of angles and n = number of sides.In a regular polygon (a shape where each angle and side is the same size / length), you can therefore work out that each angle is the total of the angles in the shape divided by the number of sides or:a = 180(n-2)/n where a = size of the angle and n = number of sidesAlternatively, it is possible to work out the size of the angles by dividing 360 by the number of sides and subtracting from 180 or:a = 180 - 360/n (letters as before)This is because the external angles of a shape must equal 360 so the size of each is 360 divided by the number of sides. Therefore, the internal angle is 180 - the external angle.NB: all answers are in degrees
1260 degrees. Use this formulae to work out any shape. (n-2) x 180= answers n=Number if sides
The equation for the total interior angles of a polygon is (n-2)x180. In this case, the shape has 979 sides. Thus, to work out the total interior angles of the shape you do: (979-2)x180 =977x180 =175,860 Therefore the total interior angles for a 56 sided shape is 175,860.
Because It Has Four Right Angles.
Do you mean the sum of interior angles? If so then it's: (number of sides -2)*180 = sum of interior angles
Your mums the right angle ya zimme
The sum of the interior angles of any n-sided figure is (2n - 4) right angles. When n = 6 this equates to 8 x 90 ie 720o. Consider an n-sided polygon. From any point A inside the polygon draw a straight line to each vertex, thus creating n triangles. (As the final formula is based on right angles, we work on right angles from here.) Each triangle contains 180o, ie two right angles, so the sum of the angles of all the triangles is 2n right angles. The angles round the point A form a complete revolution, ie 360o, which is four right angles, which are not part of the interior angles of the polygon. These interior angles therefore total (2n -4) right angles.