\[\boxed{\mathbf{1437}\mathbf{\ (1029)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]
\[\angle AOB = 180{^\circ} - развернутый.\]
\[\angle AOC = \angle BOC + 50{^\circ}\]
\[\angle BOC = (180 - 50)\ :2 =\]
\[= 130\ :2 = 65{^\circ}.\]
\[\angle AOC = 65{^\circ} + 50{^\circ} = 115{^\circ}.\]
\[Ответ:\ \ 65{^\circ}\ \ и\ \ 115{^\circ}.\]