\[S_{\text{ABC}} = 18\ см^{2};AC = 8\ см;BC = 9\ см:\]
\[S_{\text{ABC}} = \frac{1}{2}AC \bullet BC \bullet \sin{\angle C}\]
\[8 \bullet 9 \bullet \sin{\angle C} = 36\]
\[\sin{\angle C} = \frac{1}{2}\text{\ \ \ }\]
\[\angle C = 30{^\circ}.\]
\[\angle C = 180{^\circ} - 30{^\circ} = 150{^\circ}.\]
\[Ответ:\ \ 30{^\circ};\ 150{^\circ}.\]