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How many sides would a polygon have if the measure of the interior angles is 3960 degrees?
20 sides. The interior angles of a polygon add up to 180(n-2). We solve: 180(n-2) = 3960 n-2 = 22 n-2(+2) = 22(+2) n=24
What is the measure of the interior angles if the sum of the angles is 3960?
To find the measure of each interior angle in a polygon when the sum of the angles is given, you divide the total sum by the number of angles in the polygon. If the sum of the interior angles is 3960, and the polygon is a hexagon (6 sides), each interior angle would measure 660 degrees (3960 ÷ 6 = 660). This is because the sum of the interior angles of a polygon with n sides is given by (n-2) * 180 degrees.
What is each interior angle of a regular polygon with 22 sides?
163.6363... degrees.
What are the number of sides of a regular polygon with interior angle 172 degrees?
To find the number of sides ( n ) of a regular polygon with an interior angle of 172 degrees, we can use the formula for the interior angle of a regular polygon: [ \text{Interior Angle} = \frac{(n-2) \times 180}{n} ] Setting this equal to 172 degrees gives: [ \frac{(n-2) \times 180}{n} = 172 ] Solving for ( n ), we find ( n = 22 ). Therefore, a regular polygon with an interior angle of 172 degrees has 22 sides.
How many degrees does a 22 sided polygon have?
Exterior angles add up to 360 degrees Interior angles add up to 3600 degrees
What interior angles of a polygon has 22 sides?
The interior angles add up to 3600 degrees
How many sides does a polygon have if the sum of the measures of the interior angles is 3600 degrees?
22 sides
How many sides does a 3600 degree polygon have?
If the interior angles add up to 3600 degrees then it will have 22 sides
What is the measurement of the interior angles of a 3 sided polygon or other polygons up to a 22 sided polygon?
The formula is: (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon.
What is the sum of the interior angles in a 22 sided polygon?
There is a formula you can use to determine the sum of the interior angles of any polygon with n number of sides:(n-2) * 180oso in your case it would be (22-2)*180o = 3600o
How many sides does a polygon have with interior angles of 45 degrees?
22/3 sides.-- The smallest possible number of sides for a polygon is 3, in a triangle.If the triangle is regular, then each interior angle is 60 degrees.-- The next polygon is the quadrilateral, with 4 sides. If the quadrilateralis regular, then each interior angle is 90 degrees.-- We can see that as the number of sides increases, the interior angles get bigger.-- So the triangle is the polygon with the smallest interior angles.And those are 60 degrees, so a polygon with all45-degree interior anglesisn't possible. Some of them could be, but never all.
How many sides would a polygon have if the measure of the interior angles is 3960 degrees?
20 sides. The interior angles of a polygon add up to 180(n-2). We solve: 180(n-2) = 3960 n-2 = 22 n-2(+2) = 22(+2) n=24
What is the sum of the interior angles of a 22 sided polygon?
(22-2)*180=3600
How many sides will a polygon have if the sum of its angles is twenty two right angles?
If the sum of its interior angles is 22*90 which is 1980 degrees then it will have 13 sides Consider the following rules that are applicable to all polygons:- (interior angles+360) divided by 180 = number of sides (number of sides -2) multiplied by 180 = sum of interior angles The above question is rather confusing because it implies that the interior angles of the polygon is the equivalent of twenty two right angles which is the same as 1980 degrees but working out how many sides the polygon has then the same rules apply. (1980+360)/180 = 13 sides (13 -2)*180 = 1980 degrees
How many side does a polygon have if the sum of the measures of the interior angles is 3960 degrees?
Suppose the polygon has n sides Then sum of interior angles = (n-2)*180 degrees = 3960 degrees so n-2 = 3960/180 = 22 and so n = 24
What is the measure of the interior angles if the sum of the angles is 3960?
To find the measure of each interior angle in a polygon when the sum of the angles is given, you divide the total sum by the number of angles in the polygon. If the sum of the interior angles is 3960, and the polygon is a hexagon (6 sides), each interior angle would measure 660 degrees (3960 ÷ 6 = 660). This is because the sum of the interior angles of a polygon with n sides is given by (n-2) * 180 degrees.
How many sides does a polygon have if the sum of the measures of the interior angles is 3960 degrees?
22 * * * * * NO. It is 24. The formula for an n-sided polygon is (n-2)*180 degrees which gives n-2 = 22. And then n = 24
