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How do you work out the total number of angles there are in a shape?
Wiki User
∙ 13y ago
An angle is the figure formed by two rays sharing a common endpoint. Without any additional information, the best way to work out the number of angles in a polygon (or any shape) is to count them.
If you want to know the total degrees of all the angles in a polygon, the formula is TD = 180(n - 2) where n equals the number of sides, thus:
Triangle = 3 sides 180(3 -2) = 180 degrees in a triangle.
Quadrilateral = 4 sides 180(4 - 2) = 360 degrees in a quadrilateral
Pentagon = 5 sides 180(5 - 2) = 540 degrees in a pentagon
etc.
Wiki User
∙ 13y ago
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What is the total interior angle for a 979 sided shape?
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.
What do the angles of an nonagon add up to?
1260 degrees. Use this formulae to work out any shape. (n-2) x 180= answers n=Number if sides
How do you work out supplementary angles?
Supplementary angles total 180 degrees. If you have one angle, subtract it from 180 to find its supplement.
How do you work out what all angles add up to in a six sided shape?
The internal (inside) angles of any regular polygon are equal to (n - 2) x 180, where n is the number of sides in the polygon. For example, the sum of the internal angles inside a six-sided shape (hexagon) are equal to (6 - 2) x 180 = 720 degrees.To find out how much each angle measures, simply divide the result of this by the number of sides - so, 720 / 6 = 120 degrees. Each internal angle in a hexagon is equal to 120 degrees.
Work out the number of sides of a regular polygon with an interior angle of 171 degrees?
The interior angle of a regular polygon with x sides is 180(x-2)/x. Rearranging the formula for x, the number of sides for a shape with y angles is 360/(180-y). From this formula, the number of sides is 40.
How do you work out number of right angles in a 3d shape?
you work out the number of right angles on each face of the shape. when ur done then add up all the number of right angles form each face
What is the total interior angles for a 56 sided shape?
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.
How many angles has a 5 sided shape have?
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)
What is the total interior angle for a 979 sided shape?
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.
Angle according to sides?
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
How do you work out the interior angles of a regular 6 sided shape?
Divide 360 by the number of sides, then subtract the quotient from 180 to get the angle in degrees.
How do you work out how many sides a shape has from the degree of its interior angles?
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
What do the angles of an nonagon add up to?
1260 degrees. Use this formulae to work out any shape. (n-2) x 180= answers n=Number if sides
How do you work out supplementary angles?
Supplementary angles total 180 degrees. If you have one angle, subtract it from 180 to find its supplement.
How do you work out the um of interior angles?
Do you mean the sum of interior angles? If so then it's: (number of sides -2)*180 = sum of interior angles
How do you work out the amount of sides o a exterior angle that is 10?
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
What is the Square root of an isosceles triangle?
It is actually impossible to work out the square root of a shape but you can work out the square roots of the interior and exterior angles, the area and the perimiter
