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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.

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โˆ™ 2015-11-08 16:00:34
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Q: Why is the sum of the angles in a quadrangle 360?
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Related questions

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 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 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.


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.


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.


The sum of a quadrangle?

360


How do you find the sum of the angles in a quadrangle without using a protractor?

Assuming it is a four sided closed figure, the sum of the angles is always 360 degrees. For example, a rectangle has four sides with each angle equal to 90 degrees. If you add each of the angles together you come up with the sum of the angles totaling 360 degress.


What is the sum of both angles 180?

If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!


What is the sum of angles in a rhombus?

The sum of the interior angles is 360 and the sum of the exteriors is 360 also.


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

360 degrees.


What is the sum angle in a quadrangle?

2*pi radians (360 degrees).


What is the sum of the interior angles of a polygon is three times the sum of the exterior?

Sum of the exterior angles is 360 degrees. So the sum of the interior angles must be 3*360 = 1080 degrees.


Why all quadrangle sum to 360 degree?

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.


What is the exterior sum of angles in a dodecagon?

The exterior sum of angles for any polygon is always 360 degrees.The sum of the exterior angles of a 12 sided dodecagon is 360 degrees


What is the sum of the exterior angles of an octagon?

360 degress which is the same as the sum of the interior angles of a quadrilateral. 360 + 8 x 180 = 1800°


What is the sum of the exterior angles of a 56-gon?

360o; the sum of the exterior angles of any polygon is 360, as given in the formula E = 360.


Sum of angles of a trapezoid?

the sum of the angles of a trapizoid equal 360 degrees.


What is the sum of the measures of the interior angles of a rhombus?

The sum of the interior angles is 360.


Find the angles in a quatrilateral when you know 2 angles?

The sum of all four angles is 360 degrees. Thus, you have insufficient information to know the individual angles; you can only know their sum, which is 360 minus the sum of the other two angles.


What is the sum of the angles in a quardrilateral?

-- The sum of the four exterior angles is 360 degrees. -- The sum of the four interior angles is also 360 degrees. -- So the sum of all the interior and exterior angles is 720 degrees.


A quadrilateral has angles whose measurements total how many degrees?

The interior angles sum to 360 degrees; the exterior angles also sum to 360 degrees.


Sum of angles of a quadrilateral?

alway sum of angle of qudrilateral is 360 The sum of the angles in a quadrilateral is 360o.


What is the sum of the angles of a 14-gon?

Sum of exterior angles: 360 degrees Sum of interior angles: 2160