determinati masurile unghiurilor unui patrulater convex stiind  ca acestea sunt direct proportionale cu 2,3,7,8 .

Răspuns :

a,b,c,d-masurile unghiurilor

a,b,c,d,    dp cu 2,3,7,8 

a/2=b/3=c/7=d/8=k

a=2k
b=3k
c=7k
d=8k

2k+3k+7k+8k=360
20k=360
k=18

a=2*18=36
b=3*18=54
c=7*18=126
d=8*18=144

[tex] \frac{a}{2} = \frac{b}{3} = \frac{c}{7} = \frac{d}{8} = k \\ a=2k \\ b=3k \\ c= 7k \\ d=8k \\ 360=2k+3k+7k+8k \\ 360=20k \\ k=18 \\ a=36 , b=54, c=126 ,d=144[/tex]
Vezi imaginea George912