Answer variants:
\(60^{\circ}\)
\(30^{\circ}\)
\(80^{\circ}\)
\(90^{\circ}\)
Two lines \(AB\) and \(CD\) intersect at \(O\). If \(\angle AOC + \angle COB + \angle BOD = 270^{\circ}\), find the measures of:
 
\(\angle AOC =\)
 
\(\angle COB =\)
 
\(\angle BOD =\)
 
\(\angle DOA =\)