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To find the number of sides in a polygon based on its degree measure, you can use the formula that relates the interior angle sum to the number of sides: the sum of the interior angles of an n-sided polygon is given by ( (n-2) \times 180 ) degrees. For a polygon with a total interior angle measure of 3240 degrees, you set up the equation: ( (n-2) \times 180 = 3240 ). Solving for n gives ( n = 20 ). Therefore, a polygon with a total interior angle measure of 3240 degrees has 20 sides.
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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 regular polygon have if the sum of its interior angle measures is 3240?
The formula for the sum of the interior angles for a polygon having n sides = 2n - 4 right angles. 3240 ÷ 90 = 36 right angles : When 2n - 4 = 36 then 2n = 36 + 4 = 40 : n = 20 The regular polygon has 20 sides.
If the sum of a polygon is 900 degree how many sides does the polygon have?
7 sides, which makes it a heptagon. A polygon is any shape with 3 or more sides.
How many sides does a polygon have if the interior angles add up to 3240 degrees?
20 sides The relationship between the sum of interior angles and number of sides is (Sum of angles)/180° + 2 3240/180 + 2 = 18 + 2 = 20 This kind of figure is called an icosagon. 20 sides Alternatively you can find it from the formula Sum of the angles of an n-sided polygon = 180(n-2). So solve the following for n: 3240= 180(n-2) n-2=3240/180=18 n=18+2=20
How many sides does a polygon have if the exterior angle is 15 degree?
Providing that it's a regular polygon then: 360/15 = 24 sides
How many sides does a polygon have if the sum of its interior angles is 3240 degrees?
20 sides
If the sum of the angles of a polygon is 3240 degrees how many sides does it have?
n = (3240 + 360)/180 ie 20
How many sides does a polygon have when the sum of the measures of its interior angles is 3240?
20
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.
If the sum of the interior angles of a regular polygon is 3240 degrees how many sides does this polygon have?
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees So (n-2)*180 = 3240 Hence n-2 = 18 so that n = 20.
How many sides does a regular polygon have if the sum of its interior angle measures is 3240?
The formula for the sum of the interior angles for a polygon having n sides = 2n - 4 right angles. 3240 ÷ 90 = 36 right angles : When 2n - 4 = 36 then 2n = 36 + 4 = 40 : n = 20 The regular polygon has 20 sides.
How many sides does a 900 degree polygon have?
7 sides
How many sides does a 1620 degree polygon have?
11 sides
How many sides does a 1080 degree polygon have?
8 sides
If the sum of a polygon is 900 degree how many sides does the polygon have?
7 sides, which makes it a heptagon. A polygon is any shape with 3 or more sides.
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.
How many sides does a 51 degree polygon have?
6
