Question

Alflati masura unghiurilor unui patrulater convex stiind ca sunt direct proportionale cu 3 4 5 6

Answer 1

 [tex] \frac{a}{3} + \frac{b}{4} + \frac{c}{5} + \frac{d}{6} = k \\ a+b+c+d = 360 \\ a=3k \\ b=4k\\c = 5k \\ d=6k \\ 3k+4k+5k+6k = 360 \\ 18k = 360 \\ k = 360:18 \\ k=20 \\ ==\ \textgreater \ a=60 ; b=80 ; c=100 ; d=120 [/tex]