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What is the formula used to calculate the number of sides in a polygon using its angle measures?
Wiki User
∙ 9y ago
Let S be the sum of the measures of all the interior angles, in degrees.
Then the number of sides is S/180 + 2.
Wiki User
∙ 9y ago
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What is the measures of the interior angles of a regular polygon if each exterior angle measures 72?
The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.
What is the number of sides of a re gular polygon if one interior angle measures 108?
A polygon with interior angle measures of 108 would be a pentagon
How can you find the number of diagonals in a polygon?
The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon
How do you get the total number of diagonals of a polygon?
The formula is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon
How do you calculate interior angles?
The formula to find the measure of an interior angle in a regular polygon is [(n-2)(180)]/n In other words, you take the number of sides in a regular polygon, such as a rhombus, and subtract two. Then multiply that by 180. Lastly, divide by the number of sides.
Formula measures you of the exterior angles in polygon?
360 divided by number of sides
What is the sum of the interior angle measures of a polygon?
(number of sides-2)*180 = total sum of interior angles
How do you calculate the total degrees inside of a polygon?
By using the formula: (n-2)*180 = sum of degrees in a polygon whereas 'n' is the number of sides of the polygon
What is the formula to find the sum of the measures of the exterior angles one at each vertex of a polygon?
If it's a regular polygon: 360/number of sides = each exterior angle
What is the sum of the measurs of the exterior angles of a convex polygon with 17 sides?
360 degrees. The sum of the measures of the exterior angles any convex polygon will always be 360 degrees. The formula for finding the sum of the measures of the interior angles is 180(n-2) when n= the total number of sides the polygon has.
How do you calculate the area of a polygon using the number of sides?
For a regular n-sided polygon with sides of length s, the formula is: A = (n*s^2) / (4*tan(180/n))
How many sides does a regular polygon have if each angle measures 144 degrees?
We have the interior angle 144∘ . We can find the number of sides using the formula as follows. Thus, the polygon has 10 angles and 10 sides.
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72?
The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.
What is the number of sides of a re gular polygon if one interior angle measures 108?
A polygon with interior angle measures of 108 would be a pentagon
How can you find the number of diagonals in a polygon?
The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon
If each exterior angle of a regular polygon measures 40 degrees what is the total number of sides in the polygon?
If each exterior angle of a regular polygon measures 40 degrees, the polygon is a nonagon (9-sided polygon).
How do you calculate the angle sum of a 9-side polygon?
The formula for calculating the interior angles for any polygon is:- (number of sides -2)*180 = sum of interior angles So: (9 -2)*180 = 1260 degrees
