\[Сумма\ смежных\ углов\ равна\ 180{^\circ}.\]
\[Проверим.\]
\[1)\ \angle a = 24{^\circ};\ \ \ \angle b = 156{^\circ}:\]
\[\angle a + \angle b = 24{^\circ} + 156{^\circ} = 180{^\circ}.\]
\[Ответ:\ \ да.\]
\[2)\ \angle a = 63{^\circ};\ \ \ \angle b = 107{^\circ}:\]
\[\angle a + \angle b = 63{^\circ} + 107{^\circ} = 170{^\circ}\]
\[\angle a + \angle b \neq 180{^\circ}.\]
\[Ответ:\ \ нет.\]