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Formula for the number of sides of a given sum of the measures of the interior of angles of an n-gon?
Wiki User
∙ 13y ago
Interior angles total = 180n - 360
so 180n = 360 + total
ie n = (360 + total)/180
eg for a triangle, total = 180 so n = 540/180 ie 3 which is correct.
Wiki User
∙ 13y ago
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What is the formula used to calculate the number of sides in a polygon using its angle measures?
Let S be the sum of the measures of all the interior angles, in degrees. Then the number of sides is S/180 + 2.
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 formula for finding angles for quadrilaterals?
(number of sides-2)*180 = sum of interior angles
What is the sum in degrees of the measures of the interior angles of a stop sign which is the shape of an octogan?
Formula: sum of interior angles = (n-2) x 180 where: n=number of sides = (8-2) x 180 =6 x 180 =1080 degrees
What is the number of sides of a convex polygon whose sum of the measures of its interior angles is 1260?
The relevant formula for the sum of the interior angles of a convex polygon is (n - 2)(180) degrees, where n is the number of sides. In this instance, 180 n - 360 = 1260, or 180n = 1620, or n = 9.
What is the sum of the interior angle measures of a polygon?
(number of sides-2)*180 = total sum of interior angles
What is the sum of the measures of the interior angles of a convex 36-gon?
(n-2)180 is the formula for the sum of the interior angles. Since n = the number of sides, the answer is (36-2)180 = 6,120 degrees.
What is the formula used to calculate the number of sides in a polygon using its angle measures?
Let S be the sum of the measures of all the interior angles, in degrees. Then the number of sides is S/180 + 2.
What is the formula for the sum of the interior angles of a polygon?
(number of sides -2)*180 = sum of interior angles.
What is the sum of the measures in degrees of the interior angles of an 18 sided figure?
The sum of the interior angles of an n-gon is given by the formula (n-2)(180) where n is the number of sides of the polygon. Thus, the sum of the interior angles of an 18-gon is (18-2)(180) = 2880.
What is the formula for finding the sum of the interior angles of a polygon?
(number of sides-2)*180 = sum of interior angles of a polygon
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.
Find the sum of the measures of the interior angles of a convex 18-gon?
Use the formula (n - 2)180 to find the sum of the measures of the interior angles of any regular convex polygon, where n is the number of sides. (n - 2)180 = (18 - 2)180 = (16)180 = 2880
What is the formula for finding angles for quadrilaterals?
(number of sides-2)*180 = sum of interior angles
What is the sum in degrees of the measures of the interior angles of a stop sign which is the shape of an octogan?
Formula: sum of interior angles = (n-2) x 180 where: n=number of sides = (8-2) x 180 =6 x 180 =1080 degrees
What is the formula to find the sum of interior angles of a polygon?
The formula to find the sum of interior angles of a polygon is 180° × (n - 2), where n is the number of sides of the polygon.
What is the number of sides of a convex polygon whose sum of the measures of its interior angles is 1260?
The relevant formula for the sum of the interior angles of a convex polygon is (n - 2)(180) degrees, where n is the number of sides. In this instance, 180 n - 360 = 1260, or 180n = 1620, or n = 9.
