Question

determinati masurile unghiurilor unui patrulater convex stiind ca sunt direct proportionale cu numerele 1 2 5 si 10

Answer 1

a+b+c+d=360
{a,b,c,d}dp{1,2,5,10}
a=b/2=c/5=d/10=k
a=k
b=2k
c=5k
d=10k
k+2k+5k+10k=360
18k=360
k=360/18
k=20
a=20 deci unghiul A are 20 grade
b=2k=2x20=40 deci B=40 grade
c=5k=5x20=100 deci C=100 gtrade
d=10k=10x20=200 deci D=200 grade