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Could the sum of the measures of the interior angle of a polygon be equal to 810 degrees?
Wiki User
∙ 7y ago
No because then it would have 6.5 sides which is impossible
Wiki User
∙ 7y ago
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What is a interior angle of a 29 side polygon?
It could be any size at all, just as long as all 29 of them add up to 4,860 degrees.If the polygon is regular, then each interior angle is 16717/29 degrees.
Is there a maximum number of obtuse exterior angles a polygon can have?
Yes, there is a maximum number. Recall that the sum of the exterior angles is 360 degrees regardless of what kind of polygon it is. Since an obtuse angle is and angle that is greater than 90 degrees, four of them would be greater than 360 degrees so we could not have that in a polygon. Therefore, the maximum number of obtuse angles is 3.
What is the arc-tangent of 0.5?
arctan(0.5) in degrees = 26.6 degrees =====================================( you could call it 0.5 radians )
What is the measure of the interior angles of a regular 11-gon?
It is about 147 degrees. (147.27o)Subtract 2 from the number of sides and multiply by 180 to see the sum of all the angles put together. Divide by the number of sides to get the measure of each angle by itself. That works for any number of sides as long as it's regular. So, 11-2=9 and 9*180=1620 and lastly 1620/11=147.272727As a side note, to get straight to the measure of each individual angle you could also use 180-(360/x) where x is the number of sides.In a regular 11-gon, sometimes called a hendecagon, each interior angle will be equivalent. The number of adjacent triangles that can be drawn inside a polygon of n sides is (n-2); for an 11-gon, that would be nine.The sum of the angles in a triangle is always 180º, so the sum of angles in a hendecagon will be (9*180) which equals 1620 degrees. Since all interior angles are equal, divide 1620º by 11 to obtain the measure of each interior angle, about 147.27 degrees.The also-equivalent exterior angle measurement is found by subtracting 147.27º from 180º -- each exterior angle is 32.73º.
What set of measures could represent the lengths of the sides of a right angle?
3,4,5 and 5,12,13 are two possibilities.
What is the sum of the measure of the interior angles of a regular polygon if each exterior angle measures 90 degrees?
360 degrees, it could be a square or a rectangle
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.
What is a interior angle of a 29 side polygon?
It could be any size at all, just as long as all 29 of them add up to 4,860 degrees.If the polygon is regular, then each interior angle is 16717/29 degrees.
If the sum of the interior angles of a polygon equals 1080 degree's what is the measure of each interior angle of the polygon?
Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.
Interior angle of a polygon has a measure of 140?
It could be an obtuse triangle. If it were a regular polygon then each of its external angles would be 180 -140 = 40 degrees. The sum of the external angles of any polygon is 360 degrees. So if each is 40 degrees, there must be 360/40 = 9 of them. So the polygon is a nonagon, BUT ONLY IF IT IS A REGULAR POLYGON.
How many sides in a polygon whose interior angle is 174?
It could be three. It could be a triangle with angles of 174, 3 and 3 degrees. If it is a REGULAR polygon, though, there is a more specific answer. Interior angle = 174 deg implies exterior angle = 6 deg. Sum of ext angles = 360 deg so there must be 360/6 = 60 sides to the polygon.
What is the measure of an interior angle of a regular three-sided polygon?
well all the angle added together is 180 degrees. but you can have multiple variations of the three angles inside. one example could be 60 degrees on all three angles. another example could be 90 degrees, 45 degrees, and 45 degrees
What are the angles on the outside of triangles?
They are its exterior angles and the 3 exterior angles of a triangle add up to 360 degrees whereas its 3 interior angles add up to 180 degrees.
What is the measurement of one angle of a decagon?
An exterior angle of a regular polygon with n sides is 360/n degrees. So in the case of a decagon that would be 36 degrees. The interior angle is its supplement so 180 - 36 = 144 degrees. Furthermore, a non-regular decagon could have an interior angle with any value in the range (0, 360) degrees. The only constraint is that the sum of all ten interior angles is 1440 degrees.
What is a polygon with all interior sides equal?
A polygon can only have sides. There are no interior or exterior sides: all sides are the boundaries of a polygon. They could be called equilateral although that names seems to be reserved for triangles.
Could a regular polygon have interior angles of 165.6?
Yes and it will have 25 sides
How many regular polygon have both interior and exterior angles that are integers?
To work out the sum of all the interior angles of a shape, we use the formula: 180(n-2) In this formula, n = the number of sides the polygon has. This formula only works out the sum of the interior angles, so to finish it off, we divide the answer by n. The number you get from that is equal to one interior angle of the particular polygon you put in the formula. To work out the exterior angles, you need to know that: Exterior angle + interior angle = 180 degrees. So to get the exterior angle, all we have to do is take the interior angle from 180 degrees. Triangle: 180(3-2) = 180 degrees 180/3 = 60 degrees 180 - 60 = 120 degrees Interior angle: 60 degrees Exterior angle: 120 degrees Square: 180(4-2) = 360 degrees 360/4 = 90 degrees 180 - 90 = 90 degrees Interior angle: 90 degrees Exterior angle: 90 degrees Pentagon: 180(5-2) = 540 degrees 540/5 = 108 degrees 180 - 108 = 72 degrees Interior angle: 108 degrees Exterior angle: 72 degrees You could do this for a long time and check every single polygon up to a 360 sided shape, but that would take ages. If you think about it logically, we already know that: Triangle: Int angle = 60 degrees Ext angle = 120 degrees Integers? YES Square: Int angle = 90 degrees Ext angle = 90 degrees Integers? YES Pentagon: Int angle = 108 degrees Ext angle = 72 degrees Integers? YES Do that for as many as you can, and you'll get a decent idea of which ones do and which ones don't. Just a hint: The more sides a polygon has, the less chance that there'll be an integer for it's interior and exterior angles.
