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It can be proven that the angle sum of a triangle is 180 degrees using Euclid's parallel postulate. Any quadrilateral can be divided into two triangles by connecting two opposite sides. The sum of the angles of the quadrilateral will be the sum of the sum of the two triangles, or in other words 2*180=360. In fact, any n-gon can be divided into n-2 triangles and the sum of the angles of the n-gon will be (n-2)*180.

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Q: Why all quadrangle sum to 360 degree?
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Related questions

The sum of a quadrangle?

360


How many degrees in a quadrangle?

The sum of the angles in a quadrangle is 360 degrees.


The sum of the angles in a quadrangle is?

360 degrees


What is the sum of the interior angle measures in a quadrangle?

360 degrees.


What is the sum of a quadrangle called?

If the question is, what is the sum of the angles of a quadrangle, then the answer is 360 degrees.Quadrangle is another name for quadrilateral. A quadrangle alone cannot assume a sum of any sort, but the length of its sides or the measurement of its angles can.


How do you find the angles of a quadrangle without a protractor that is not a square?

i don't know it this helps, but the sum of the angles in a quadrangle is 360 !


How do you find the sum of angels in a quadrangle?

The sum of all four angles inside any 4-sided figure is always 360 degrees.


What is the sum angle in a quadrangle?

2*pi radians (360 degrees).


How do find the sum of the angles in a quadrangle with each side different lengths not using a protractor?

The sum of the angles in a quadrangle is 360 degrees, whatever the side lengths.


Why is the sum of the angles in a quadrangle 360?

There are a number of ways of proving that the sum of the interior angles of a polygon, which has n sides, is (n - 2)*180 degrees.In the case of a quadrangle, n = 2 and so the angle sum is (4 - 2)*180 = 2/180 = 360 deg.


What is the sum of the measures of all angles in a regular polygon?

360 degree.


What is the sum of the angles in a quadrangle?

If a circle (equalling 360 degrees) is cut into four pieces, then rearranged a bit, it will become to look like one quadrangle or another. That is why a quadrangle, no matter HOW messed up, will still equal 360 degrees when its angles are added up.