Question

Determinati masurile unghiurilor unui patrulater convex stiind ca acestea sunt direct proportionale cu 2,5,7,10.

Answer 1

$\frac{A}{2} = \frac{B}{5} = \frac{C}{7} = \frac{D}{10} = k \\ A= 2k \\ B = 5k \\ C= 7k \\ D= 10 k \\ 2k + 5k + 7k+ 10k= 360 \\ 24k = 360 => \\ k= \frac{360}{24} \\ k= 15 => \\ A= 2k= 15*2= 30 \\ B= 5k= 5*15= 75 \\ C= 7k= 7*15= 105 \\ D= 10k= 10*15= 150$