Let S be the sum of the measures of all the interior angles, in degrees.
Then the number of sides is S/180 + 2.
To calculate the size of the interior angle of a polygon with 15 sides, you can use the formula for the measure of an interior angle: ((n - 2) \times 180° / n), where (n) is the number of sides. For a 15-sided polygon, this would be ((15 - 2) \times 180° / 15 = 13 \times 180° / 15 = 1560° / 15 = 104°). Therefore, each interior angle of a 15-sided polygon measures 104 degrees.
A polygon with interior angle measures of 108 would be a pentagon
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.
The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon
The formula is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon
360 divided by number of sides
(number of sides-2)*180 = total sum of interior angles
By using the formula: (n-2)*180 = sum of degrees in a polygon whereas 'n' is the number of sides of the polygon
If it's a regular polygon: 360/number of sides = each exterior angle
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.
To calculate the size of the interior angle of a polygon with 15 sides, you can use the formula for the measure of an interior angle: ((n - 2) \times 180° / n), where (n) is the number of sides. For a 15-sided polygon, this would be ((15 - 2) \times 180° / 15 = 13 \times 180° / 15 = 1560° / 15 = 104°). Therefore, each interior angle of a 15-sided polygon measures 104 degrees.
For a regular n-sided polygon with sides of length s, the formula is: A = (n*s^2) / (4*tan(180/n))
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.
A polygon with interior angle measures of 108 would be a pentagon
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.
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, the polygon is a nonagon (9-sided polygon).