\[\text{α\ }и\ \beta - смежные\ углы;\ \]
\[\cos\alpha = - \frac{1}{6}.\]
\[1)\cos\beta = \cos(180{^\circ} - \alpha)\]
\[\cos\beta = - \cos\alpha = \frac{1}{6}.\]
\[Ответ:\ \ \frac{1}{6}.\]
\[2)\cos\alpha < 0;\ \ \ \cos\beta > 0:\]
\[90{^\circ} < \alpha < 180{^\circ};\ \ \]
\[0{^\circ} < \beta < 90{^\circ}.\]
\[Ответ:\ \ a - тупой;\ \beta - острый.\]