[tex]\{ \alpha; \; \beta \} \frac{d.p.}{} \{4; 6 \} \\ \\ \frac{\alpha}{4}=\frac{\beta}{6}=k \\ \\ \alpha=4k \\ \beta=6k \\ \alpha+\beta=180 \\ 4k+6k=180 \\ 10k=180 \\ k= \frac{180}{10} =18 \\ \\ \alpha=4k =4*18= \boxed{72^{o}} \\ \beta=6k=6*18=\boxed{108^{o}} [/tex]
