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What is the total number of degrees of the interior angles of quadrilateral?
Wiki User
∙ 14y ago
360 degrees
Wiki User
∙ 14y ago
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What do interior angles add up to?
The sum of the interior angles of a polygon depends on the number of sides. The formula for n sides is sum = 180 (n-2) So for a triangle it is 180 degrees, for a quadrilateral 360 degrees, and for a pentagon 540 degrees.
Why do the angles of a quadrilateral have to add up to 360o?
To comply with the formula for any polygon (number of sides-2)*180 = total sum of interior angles. A quadrilateral has 4 sides so: (4-2)*180 = 360 degrees
Sum of measures of interior angles of a polygon is 360 whats the total number of sides?
It’s totally a quadrilateral
What are the total number of degrees of all the interior angles of a regular octagon?
The sum of all the interior angles of a regular octagon is 360 degrees.
What is the proof that angles of quadrilateral add up to 360?
Because it complies with the formula for any polygon: (n-2)*180 = sum of interior angles when n is the number of sides of the polygon A quadrilateral has 4 sides So (4-2)*180 = 360 degrees
What do interior angles add up to?
The sum of the interior angles of a polygon depends on the number of sides. The formula for n sides is sum = 180 (n-2) So for a triangle it is 180 degrees, for a quadrilateral 360 degrees, and for a pentagon 540 degrees.
Why is the sum of the interior angle of a qaudrilateral always 360 degrees?
Because the formula for finding the total sum of interior angles of any polygon is given as: (number of sides-2)*180 = sum of interior angles A quadrilateral has 4 sides. (4-2)*180 = 360 degrees
Why do the angles of a quadrilateral have to add up to 360o?
To comply with the formula for any polygon (number of sides-2)*180 = total sum of interior angles. A quadrilateral has 4 sides so: (4-2)*180 = 360 degrees
What is the sum of the interior angles of a quadrilateral?
The interior angles of a quadrilateral (polygon with 4 sides and angles) sum to 360 degrees. We can find this in a couple of ways. First, noting the general formula for an n-gon: S = (n - 2)(180) where S is the sum of the interior angles in degrees and n is the number of sides of the n-gon. We find S = (4 - 2)(180) = 360 degrees. Second, the exterior angles must average 360/n degrees. In this case, 360/4 = 90 degrees. Interior angles are supplementary to exterior angles, so the average interior angle must equal 90 degrees. Finally, 4 interior angles with an average of 90 degrees means a sum of 360 degrees. Finally, consider some quadrilaterals (e.g. squares, rectangles, parallelograms, etc.). They each contain 360 degrees (e.g. four 90 degree angles).
Sum of measures of interior angles of a polygon is 360 whats the total number of sides?
It’s totally a quadrilateral
What are the total number of degrees of all the interior angles of a regular octagon?
The sum of all the interior angles of a regular octagon is 360 degrees.
What is the proof that angles of quadrilateral add up to 360?
Because it complies with the formula for any polygon: (n-2)*180 = sum of interior angles when n is the number of sides of the polygon A quadrilateral has 4 sides So (4-2)*180 = 360 degrees
How do you find the number of degrees in a decagon?
The sum of the interior angles is 1440 degrees.
What is the total number of degrees of the interior angles in a hexagon?
360 degrees lad
What is the total number of degrees in a 16-sided polygon?
Interior angles: 2520 degrees Exterior angles: 360 degrees
What is the sum of a quadrilarel?
Not sure what a quadrilarel is. A quadrilateral has no intrinsic sum. It has four interior angles (that sum to 360 degrees), it has four sides whose lengths can have any sum (the quadrilateral's perimeter) you want. Its area can be any number you want.
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.
