Question

Cum se afla msurile unghiurilor unui patrulater convex,daca ele sint invers proportionale cu nr 2,3,6,9
V a roggggg:333333

Answer 1

 [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]