[tex]Notam\,masura\,unghiurilor\,cu:a;b;c\,si\,d\;!\\
\Rightarrow\;\frac{a}{\frac{1}{2}}=\frac{b}{\frac{1}{3}}=\frac{c}{\frac{1}{6}}=\frac{d}{\frac{1}{9}}=\frac{360}{1/2+1/3+1/6+1/9}=\frac{360}{\frac{20}{18}}=324\\
\Downarrow\\
a=324*1/2=162^o\;;\\
b=324*1/3=108^o\;;\;\\
c=324*1/6=54^o\;;\;\\
d=324*1/9=36^o\;;\;\\
a+b+c+d = 360^o
[/tex]
