ГДЗ по математике 6 класс Мерзляк ФГОС Задание 211

\[\boxed{\mathbf{211}\mathbf{.}}\]

\[\angle BOC = x;\]

\[\angle AOC = (x + 38{^\circ});\]

\[\angle AOB = 180{^\circ}.\]

\[x + x + 38 = 180\]

\[2x = 180 - 38\]

\[2x = 142\]

\[x = 142\ :2 = 71{^\circ} - \angle BOC.\]

\[\angle AOC = x + 38 = 71 + 38 =\]

\[= 109{^\circ}.\]

\[Ответ:71{^\circ}\ и\ 109{^\circ}.\]