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How do you get the number of sides of a regular polygon with a given exterior angle?
By dividing the given exterior angle into 360 degrees tells you how many sides the polygon has.
What is the rule to get the number of sides of a regular polygon when given the interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
Find the number of sides of a regular polygon with an internal angle of size a.144 b. 140?
The sum of the exterior angles of any polygon is 360o. For a regular polygon, they are all the same, so 360o divided by the size of exterior angleo will give you how many sides the polygon has.The interior and exterior angles of a polygon are supplementary and so sum to 180o.So given the internal angle, subtract from 180o and then divide into 360o and you will have the number of sides.Interior angle = 144oexterior angle = 180o - 144o = 36o. number of sides = 360o / 36o = 10 (a decagon).Interior angle = 140oLeft as an exercise for the reader. reader:ext.a.=180-140=40n. of s.=360/40=9Thanks a lot!
What is the angle of polygon sides?
It is given by the formula (number of sides - 2) * 180 degrees.
Give the formulas for finding the number of sides of a regular polygon when given the measure of an exterior angle?
360/exterior angle = number of sides
Give the formulas for finding the number of sides of a regular polygon when given the measure of an interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
How many sides are in a regular polygon with an interior angle of 172.5?
48 sides A formula for finding the number of sides of a regular polygon given an interior angle: 360/(180-angle)=sides
How do you find the measure of an exterior angle of a polygon off of one vertex?
1. Use a protractor. 2. If given the interior angle, use the linear pair postulate. (180-interior angle measure) 3. If given that the polygon is regular, divide 360 by the number of angles.
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.
How many sides does a 72 degree polygon have?
To find the number of sides in a regular polygon with a given interior angle, you can use the formula: ( n = \frac{360}{180 - \text{angle}} ). For a polygon with a 72-degree interior angle, this would be ( n = \frac{360}{180 - 72} = \frac{360}{108} ), which simplifies to ( n = \frac{360}{108} = \frac{10}{3} ), approximately 3.33. Since the number of sides must be a whole number, a polygon cannot have an interior angle of 72 degrees, indicating that the angle pertains to a different context in polygon geometry.
If the interior angle of a polygon is 3240 how many sides does it have?
To find the number of sides of a polygon given an interior angle, you can use the formula for the interior angle of a regular polygon: ( \text{Interior Angle} = \frac{(n-2) \times 180}{n} ), where ( n ) is the number of sides. Setting this equal to 3240 and solving for ( n ), we get: [ 3240 = \frac{(n-2) \times 180}{n} ] Multiplying both sides by ( n ) and rearranging gives ( n = 20 ). Therefore, the polygon has 20 sides.
How many sides does a polygon have if the sum of its angle measures is 1980?
The formula for number of sides a polygon has given the sum of its internal angles is 1800 * (n - 2). So, for a triangle, n=3, and sum of the angles is 1800. So to answer your question, first divide 1,980 by 180 to get 11. Now add 2, and you get the number of sides, 13. In case you're curious, a 13 sided polygon is called a triskaidecagon.
