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Find the number of sides a polygon has if the sum of its angle measures is 3600 degrees?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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One exterior angle of a regular polygon measures 30 degrees what is the sum of the polygon's interior angle measures?
1800 degrees
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.
One exterior angle of a regular polygon measures 36 What is the sum of the polygon's interior angle measures?
1440 degrees
One exterior angle of a regular polygon measures 36. What is the sum of the polygon's interior angle measures?
1440 degrees
What is the measure of each angle of a 15 sided polygon?
Providing that it is a regular polygon then each exterior angle measures 24 degrees and each interior angle measures 156 degrees
One exterior angle of a regular polygon measures 30 degrees what is the sum of the polygon's interior angle measures?
1800 degrees
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.
One exterior angle of a regular polygon measures 36 What is the sum of the polygon's interior angle measures?
1440 degrees
One exterior angle of a regular polygon measures 36. What is the sum of the polygon's interior angle measures?
1440 degrees
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).
What is the sum of the measures of the interior angles of a regular polygon if each angle measures 90 degrees?
If each angle measures 90 degrees the polygon is a square and so its angles sum to 360 degrees.
What is the measure of each angle of a 15 sided polygon?
Providing that it is a regular polygon then each exterior angle measures 24 degrees and each interior angle measures 156 degrees
What is the number of sides of a regular polygon if one angle measures 172 degrees?
If one interior angle measures 172° then the corresponding exterior angle measures 180 - 172 = 8°. The number of sides = 360 ÷ 8 = 45.
What is the relationship between the number of triangles and the sum of the angle measures of the polygon?
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.
What is the sum of the polygon's interior angle measures if the exterior angle of a regular polygon's 36 degree?
1440 degrees
An exterior angle of a regular polygon measures 30 degrees What is the measure of an interior angle?
150 degrees.
What is the measure of an angle of a REGULAR 32-gon polygon?
Each exterior angle measures 11.5 degrees. Each interior angle measures 168.75 degrees
