A triangle has 180 degrees, a rectangle has 360, a pentagon 540 etc. So the # of degrees = (number of sides - 2) * 180. So 3600 = 180 ( N - 2) means 20 = N - 2 so N = 22. A 22-sided polygon will have 3600 degrees.
1800 degrees
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.
1440 degrees
1440 degrees
Providing that it is a regular polygon then each exterior angle measures 24 degrees and each interior angle measures 156 degrees
1800 degrees
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.
1440 degrees
1440 degrees
If each exterior angle of a regular polygon measures 40 degrees, the polygon is a nonagon (9-sided polygon).
If each angle measures 90 degrees the polygon is a square and so its angles sum to 360 degrees.
Providing that it is a regular polygon then each exterior angle measures 24 degrees and each interior angle measures 156 degrees
If one interior angle measures 172° then the corresponding exterior angle measures 180 - 172 = 8°. The number of sides = 360 ÷ 8 = 45.
In a polygon with n sides, the sum of the interior angles is given by (n-2) * 180 degrees. Each triangle has interior angle sum of 180 degrees. Therefore, the number of triangles that can be formed in a polygon is equal to (n-2) * 180 / 180, which simplifies to (n-2). In other words, the number of triangles is two less than the number of sides in the polygon.
1440 degrees
150 degrees.
Each exterior angle measures 30 degrees Each interior angle measures 150 degrees