Răspuns :

Fie a,b,c,d-masurile celor patru unghiuri

a+b+c+d=360°

a/2=b/5=c/7=d/10=k

a=2k

b=5k

c=7k

d=10k

2k+5k+7k+10k=360°

24k=360°

k=360°:24

k=15°

a=2×15°

a=30°

b=5×15°

b=75°

c=7×15°

c=105°

d=10×15°

d=150°