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The size of an angle in a polygon depends on the number of sides the polygon has. The sum of the interior angles of a polygon can be calculated using the formula ( (n - 2) \times 180^\circ ), where ( n ) is the number of sides. To find the measure of each interior angle in a regular polygon (where all angles are equal), divide the total sum by the number of sides. For example, a triangle has a total interior angle sum of ( 180^\circ ), while a quadrilateral has ( 360^\circ ).
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What is the size of an exterior angle if the interior angle of a regular polygon is 170?
180-170 = 10 degrees and the polygon will have 36 sides
What is the size of each interior angle for a 11 sided polygon?
If its a regular polygon then its 147 degrees.
What size is a exterior angle?
The exterior angle of a polygon is formed by one side of the polygon and the extension of an adjacent side. For any polygon, the measure of an exterior angle can be calculated by subtracting the interior angle from 180 degrees. Additionally, the sum of all exterior angles of a polygon, regardless of the number of sides, is always 360 degrees. Therefore, each exterior angle can vary in size depending on the specific polygon's shape and number of sides.
What is the size of the exterior angle of a 1000 sided polygon?
The size of each exterior angle of a polygon can be calculated using the formula ( \frac{360^\circ}{n} ), where ( n ) is the number of sides. For a 1000-sided polygon, the exterior angle would be ( \frac{360^\circ}{1000} = 0.36^\circ ). Therefore, each exterior angle of a 1000-sided polygon measures 0.36 degrees.
How do you find an angle in a polygon?
You measure it. An interior angle of an ordinary polygon can have any value in the range (0, 360) degrees excluding 180 degrees. There is no constraint on the size of a single angle.
What is the size of an exterior angle if the interior angle of a regular polygon is 170?
180-170 = 10 degrees and the polygon will have 36 sides
What is an angle that is formed on the outside of a polygon by extending one side?
The size of the angle would depend on the shape and number of sides the polygon has. It is called the exterior angle.
What is the size of each interior angle for a 11 sided polygon?
If its a regular polygon then its 147 degrees.
What is the interior angle of a 45 sided polygon?
Any value between 0 and 360 degrees. There are no constraints on the size of a single angle in a polygon.
What is the size of each interior angle of a 12 sided polygon?
If it is a regular 12 sided polygon then each interior angle is 150 degrees.
What size is a exterior angle?
The exterior angle of a polygon is formed by one side of the polygon and the extension of an adjacent side. For any polygon, the measure of an exterior angle can be calculated by subtracting the interior angle from 180 degrees. Additionally, the sum of all exterior angles of a polygon, regardless of the number of sides, is always 360 degrees. Therefore, each exterior angle can vary in size depending on the specific polygon's shape and number of sides.
What is the size of the exterior angle of a 1000 sided polygon?
The size of each exterior angle of a polygon can be calculated using the formula ( \frac{360^\circ}{n} ), where ( n ) is the number of sides. For a 1000-sided polygon, the exterior angle would be ( \frac{360^\circ}{1000} = 0.36^\circ ). Therefore, each exterior angle of a 1000-sided polygon measures 0.36 degrees.
How do you find an angle in a polygon?
You measure it. An interior angle of an ordinary polygon can have any value in the range (0, 360) degrees excluding 180 degrees. There is no constraint on the size of a single angle.
A regular polygon has an interior angle with a measure of 135how many side does the polygon have?
The number of sides of a regular polygon is 360 divided by the size of the exterior angle. The external angle is 180 - the internal angle. So for a regular polygon with an internal angle of 135 we get the following. 360 / (180 - 135) = 360 / 45 = 8 sides
What is the size of each interior angle of a 17 sided polygon?
158.82 degrees
What is the size of an interior angle of a regular polygon with 8 sides?
135 dregrees
What is each interior angle size in a 37 sided polygon?
170.27 degrees
