Question

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

Answer 1

$\frac{a}{2}=\frac{b}{5}=\frac{c}{7}=\frac{d}{10}=k$
a=2k; b=5k; c=7k; d=10k

a+b+c+d=360°
2k+5k+7k+10k=360°
24k = 360°
k = 15°
a = 30°
b = 75°
c = 105°
d = 150°