Question

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

Answer 1

x+y+z+t=360
{x,y,z,t}direct proportionale cu {2,5,7.10}
x/2=y/5=z/7=t/10=k
x/2=k=>x=2k
y/5=k=>y=5k
z/7=k=>z=7k
t/10=k=>t=10k
2k+5k+7k+10k=360
24k=360
k=15
x=2*15=30
y=5*15=75
z=7*15=105
t=10*15=150