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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 of the measures of the interior angles of a regular polygon is each exterior angle measures 120?
To find the sum of the measures of the interior angles of a regular polygon with each exterior angle measuring 120 degrees, we first determine the number of sides in the polygon. The sum of exterior angles of any polygon is always 360 degrees, so the number of sides ( n ) can be calculated as ( n = \frac{360}{120} = 3 ). Since it is a triangle, the sum of the interior angles is given by the formula ( (n - 2) \times 180 ) degrees, which for a triangle (3 sides) is ( (3 - 2) \times 180 = 180 ) degrees. Thus, the sum of the measures of the interior angles is 180 degrees.
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 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 formula for finding angles for quadrilaterals?
(number of sides-2)*180 = sum of interior angles
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 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 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 for sum of the interior angles of a polygon?
It is: (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
