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.
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The sum of the angles in a quadrangle is 360 degrees, whatever the side lengths.
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.
The sum of all four angles inside any 4-sided figure is always 360 degrees.
Using the formula: (number of sides -2)*180 = sum of interior angles
Some missions were built as four sided enclosures. The inside would then be a four-sided open space which is called a quadrangle.