\[1)\ 90{^\circ},\ \ \ 90{^\circ},\ \ \ 80{^\circ},\ \ \ 100{^\circ}:\]
\[\angle A = 90{^\circ};\ \ \ \angle C = 80{^\circ};\]
\[\angle A + \angle C = 90{^\circ} + 80{^\circ} = 170{^\circ}.\]
\[Ответ:\ \ нет.\]
\[2)\ 90{^\circ},\ \ \ 80{^\circ},\ \ \ 90{^\circ},\ \ \ 100{^\circ}:\]
\[\angle A = 90{^\circ};\ \ \angle C = 90{^\circ};\]
\[\angle A + \angle C = 90{^\circ} + 90{^\circ} = 180{^\circ}.\]
\[Ответ:\ \ да.\]
\[3)\ 50{^\circ},\ \ \ 70{^\circ},\ \ \ 130{^\circ},\ \ \ 110{^\circ}:\]
\[\angle A = 50{^\circ};\ \ \ \angle C = 130{^\circ};\]
\[\angle A + \angle C = 50{^\circ} + 130{^\circ} = 180{^\circ}.\]
\[Ответ:\ \ да.\]