Решебник по математике 6 класс Мерзляк ФГОС Задание 1233

\[\boxed{\mathbf{1233\ (1233)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ \angle MOK = \angle MOC + \angle COK\]

\[\angle MOC = 130{^\circ} - \angle BOK;\ \ \]

\[\ \angle COK = 42{^\circ}\]

\[\angle BOK = \angle BOC - \angle COK =\]

\[= 90{^\circ} - 42{^\circ} = 48{^\circ}\]

\[\angle MOC = 130{^\circ} - 48{^\circ} = 82{^\circ}\]

\[\angle MOK = 82{^\circ} + 42{^\circ} = 124{^\circ}\]

\[2)\ \angle MOD = \angle MOA + \angle AOD\]

\[\angle MOA = \angle AOC - \angle COM =\]

\[= 90{^\circ} - 82{^\circ} = 8{^\circ}\]

\[\angle AOD = 90{^\circ}\]

\[\angle MOD = 8{^\circ} + 90{^\circ} = 98{^\circ}.\]

\[Ответ:\ \angle MOK = 124{^\circ};\ \ \]

\[\angle MOD = 98{^\circ}.\]