In the figure, \(AB\) is parllel to \(DC\). Find the value of \(\angle 1\) and \(\angle 2\) if \(x = 31^{\circ}\) and \(y = 70^{\circ}\). Justify your answer.
 
YCIND_251021_7689_pic_42.png
 
\(\angle 1 =\) \(^\circ\)
 
\(\angle 2 =\) \(^\circ\)