\[\boxed{\ \mathbf{1484}\mathbf{\ (1191)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]
\[\angle BAE = \angle BAC + \angle CAE\]
\[\angle BAC = \angle BAD - \angle CAD =\]
\[= 67{^\circ} - 34{^\circ} = 33^{0}.\]
\[\angle BAE = 33^{0} + 56^{0} = 89^{0}.\]
\[Ответ:89^{0}.\]