[tex]\\
\begin{cases}
\ \alpha + \beta =85 \\
\alpha =4 \beta
\end{cases} \\
\begin{cases}
\ \alpha + \beta =85 \\
\alpha -4 \beta=0
\end{cases} \\
----------------------- ~Scadem~ecuatiile \\
.~/ ~~~5\beta = 85\\
\displaystyle \\
\beta = \frac{85}{5} = \boxed{19^o}\\ \\
\alpha =85- \beta = 85-19 = \boxed{66^o}
[/tex]