\[OC - биссектриса\ \angle\text{AOB.}\]
\[1)\ Углы\ \text{AOC\ }и\ BOC:\]
\[\angle AOC = \angle BOC.\]
\[Ответ:\ \ да.\]
\[2)\ Углы\ \text{AOC\ }и\ AOB:\]
\[\angle AOB = \angle AOC + \angle BOC;\]
\[\angle AOC = \angle BOC;\]
\[\angle AOB = \angle AOC + \angle AOC\]
\[\angle AOB = 2\angle AOC.\]
\[Ответ:\ \ нет.\]