\[\boxed{\mathbf{1084.ОК\ ГДЗ - домашка\ на}\ 5}\]
\[\mathbf{Описанная\ окружность\ }\]
\[\mathbf{делится\ вписанным\ }\]
\[\mathbf{многоугольником\ на\ равные\ }\]
\[\mathbf{дуги,\ при\ этом\ сумма\ дуг\ }\]
\[\mathbf{равна\ }360{^\circ}\mathbf{:}\]
\[n = \frac{360{^\circ}}{\cup AB}.\]
\[\textbf{а)}\ \cup AB = 60{^\circ}:\ \ \ \]
\[n = \frac{360{^\circ}}{60{^\circ}} = 6;\]
\[\textbf{б)}\ \cup AB = 30{^\circ}:\ \ \ \]
\[n = \frac{360{^\circ}}{30{^\circ}} = 12;\]
\[\textbf{в)}\ \cup AB = 90{^\circ}:\ \ \ \]
\[n = \frac{360{^\circ}}{90{^\circ}} = 4;\]
\[\textbf{г)}\ \cup AB = 36{^\circ}:\ \ \ \]
\[n = \frac{360{^\circ}}{36{^\circ}} = 10;\]
\[\textbf{д)}\ \cup AB = 18{^\circ}:\ \ \ \]
\[n = \frac{360{^\circ}}{18{^\circ}} = 20;\]
\[\textbf{е)}\ \cup AB = 72{^\circ}:\ \ \ \]
\[n = \frac{360{^\circ}}{72{^\circ}} = 5.\]