Interior angles of irregular polygon

I have the measurements of the four sides of an irregular polygon and I need to find out the size of each interior angle. I know the sum of the angles is 360 degrees but because it's not a regular polygon I don't know how to calculate each angle. The measurements of each side are 900, 1165, 1093 and 1457.enter image description here

• Also if your polygon is convex you need some other information to fix all the angles. – Emilio Novati Dec 11 '15 at 18:44
• I cannot see the image. But in general, given just the sides of a quadrilateral, we cannot determine the angles. For if you imagine hinges at the corners, it is clear that the figure is not rigid. Even if the sides are equal, we have infinitely many possible angle combinations, for we can pull a square into any rhombus shape without changing the sides. – André Nicolas Dec 11 '15 at 18:47
• Is your polygon circumscribed or of maximal area ? If so, then the sum of opposite angles is $180^\circ.$ – Lucian Dec 12 '15 at 3:05