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What is the interior and exterior angle a regular 10 sided polygon?
In a regular 10-sided polygon, each interior angle measures 144 degrees. This can be calculated using the formula: (n-2) x 180 / n, where n is the number of sides. The exterior angle of a regular polygon is always supplementary to the interior angle and can be calculated by subtracting the interior angle from 180 degrees. Therefore, the exterior angle of a regular 10-sided polygon would be 36 degrees.
What are angles outside the polygon?
Angles outside a polygon, often referred to as exterior angles, are formed when a side of the polygon is extended. These angles are created between the extended side and the adjacent side of the polygon. The sum of the exterior angles of any polygon, regardless of the number of sides, is always 360 degrees. Each exterior angle can be calculated by subtracting the interior angle from 180 degrees.
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 of the exterior angle of a polygon with 57 sides?
The exterior angles of any polygon always add up to 360 degrees.
What is the sum of the exterior angles of a polygon with 360 sides?
The exterior angles of any polygon will always add up to 360 degrees.
What is the sum of interior and exterior angle of a polygon?
The sum of each pair of interior and exterior angles of a polygon is always 180 degrees.
What is The sum of the exterior angles of a docegon?
I think its this.... Find the interior. Then do 180 - the interior. That is the exterior. * * * * * The correct answer is that the sum of the exterior angles of any polygon is always 360 degrees.
What is the sum of exterior angles in a triangle?
The exterior sum of the angles of any polygon including a triangle is always 360 degrees.
One exterior angle of a regular polygon measures 40 What is the sum of the polygon's interior angle measures?
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
What is the relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?
The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.
If the sum of the interior angles of a regular polygon is 2880 degrees how many sides does this polygon have?
18 Angles on a straight line = 180 degrees interior angles 2880 + exterior angles 360 = 3240 degrees 3240 divided by 180 = 18 sides Note that the exterior sum of angles of any polygon is always 360 degrees.
The sum of the exterior angles of a polygon always?
The exterior angles of a polygon always add up to 360 degrees
What are exterior angles?
Exterior angles are the angles formed when a side of a polygon is extended, and they are adjacent to the interior angle at that vertex. In a polygon with n sides, there are n exterior angles, one at each vertex. The sum of the exterior angles of any polygon is always 360 degrees.
What is the interior and exterior angle a regular 10 sided polygon?
In a regular 10-sided polygon, each interior angle measures 144 degrees. This can be calculated using the formula: (n-2) x 180 / n, where n is the number of sides. The exterior angle of a regular polygon is always supplementary to the interior angle and can be calculated by subtracting the interior angle from 180 degrees. Therefore, the exterior angle of a regular 10-sided polygon would be 36 degrees.
What is the sum of the measures of the interior angles of the regular polygon if each exterior measures 120?
Hint: in a regular polygon interior plus exterior = 180o, always.
What is the relationship between interior angles and the sum of the exterior angles of a given polygon?
There isn't one. The sum of the exterior angles is always 360 degrees, the sum of the interior angles varies depending on the number of sides.
What are angles outside the polygon?
Angles outside a polygon, often referred to as exterior angles, are formed when a side of the polygon is extended. These angles are created between the extended side and the adjacent side of the polygon. The sum of the exterior angles of any polygon, regardless of the number of sides, is always 360 degrees. Each exterior angle can be calculated by subtracting the interior angle from 180 degrees.
