Решебник по геометрии 9 класс Мерзляк Задание 180

\[1)\ n = 8:\]

\[S_{6} = (8 - 2) \bullet 180{^\circ} =\]

\[= 6 \bullet 180{^\circ} = 1080{^\circ}\]

\[a = \frac{1}{8} \bullet S_{6} = \frac{1}{8} \bullet 1080{^\circ} = 135{^\circ}.\]

\[Ответ:\ \ 135{^\circ}.\]

\[2)\ n = 10:\]

\[S_{9} = (10 - 2) \bullet 180{^\circ} =\]

\[= 8 \bullet 180{^\circ} = 1440{^\circ}\]

\[a = \frac{1}{10} \bullet S_{9} = \frac{1}{10} \bullet 1440{^\circ} = 144{^\circ}.\]

\[Ответ:\ \ 144{^\circ}.\]