Треугольник равнобедренный (AC = BC), поэтому \(\angle \,A = \angle \,B.\)
Тогда: \(\angle \,A + \angle \,B + \angle \,C = {180^ \circ }\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,\,2\angle \,A = {180^ \circ } — {118^ \circ }\,\,\,\,\,\,\, \Leftrightarrow \)
\( \Leftrightarrow \,\,\,\,\,\,\,2\angle \,A = {62^ \circ }\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,\,\angle \,A = {31^ \circ }.\)
Ответ: 31.