Решебник по геометрии 9 класс Мерзляк Задание 183

\[1)\ a = 140{^\circ};\]

\[S_{n} = (n - 2) \bullet 180{^\circ} = n \bullet 140{^\circ}\]

\[n - 2 = \frac{7}{9}\text{n\ \ }\]

\[\frac{2}{9}n = 2\ \ \ \]

\[n = 9.\]

\[Ответ:\ \ да.\]

\[2)\ S_{n} = 130{^\circ}:\]

\[S_{n} = (n - 2) \bullet 180{^\circ} = n \bullet 130{^\circ}\]

\[n - 2 = \frac{13}{18}\text{n\ \ }\]

\[\frac{5}{18}n = 2\ \ \ \]

\[n = 7,2.\]

\[Ответ:\ \ нет.\]