Răspuns:
60°
Explicație pas cu pas:
[tex]0,(3)=\frac{3}{9}=\frac{1}{3} ,~0,1(6)=\frac{16-1}{90}=\frac{15}{90}=\frac{1}{6}\\a:\frac{1}{3} =b:\frac{1}{6} =k\\deci~a=\frac{1}{3}k,~iar~b=\frac{1}{6} k\\atunci~\frac{1}{3}k+\frac{1}{6} k=90,~|*6~\\2k+k=90*6,~3k=90*6,~k=90*6:3=180\\Deci~a=\frac{1}{3}k=\frac{1}{3}*180=60,~b=\frac{1}{6} k=b=\frac{1}{6} *180=30\\[/tex]