Let the common ratio between the angles be x. Therefore, the angles will be 3x, 5x, 9x, and 13x respectively.
As the sum Of all interior angles Of a quadrilateral is \\(360^{\\circ}\\),
Therefore, 3x + 5x + 9x + 13x = \\(360^{\\circ}\\)
30x = \\(360^{\\circ}\\)
x = \\(12^{\\circ}\\)
Hence, the angles are
\\(\\begin{array}{l}{3 x=3 \ imes 12=360} \\\\ {5 x=5 \ imes 12=60^{\\circ}} \\\\ {9 x=9 \ imes 12=108^{\\circ}} \\\\ {13 x=13 \ imes 12=156^{\\circ}}\\end{array}\\)