[tex]Fie \ \alpha \ si \ \beta \ aceste \ unghiuri \ suplementare. \ Atunci \\ \alpha+\beta=180^o \\ \frac{\alpha}{\beta}=\frac{1}{4} \\ \Rightarrow \beta=4\alpha \\ \Rightarrow \alpha+\beta=\alpha+4\alpha=5 \alpha=180^o \\ \Rightarrow \alpha=\frac{180^o}{5} \\ \Rightarrow \boxed{\alpha=36^o}; \\ \Rightarrow \beta=4 \alpha=4 \cdot 36^o \\ \Rightarrow \boxed{\beta=144^o}.[/tex]
