Question

Determinați măsura unghiurilor unui patrulater convex ştiind că sunt invers proporționale cu 0,2;0,25;0,(3);1/6

Answer 1

0,2*a=0,25*b=0,(3)*c=1/6*d
a*2/10=a/5;
b*25/100=b/4
c*3/9=c/3
d*1/6=d/6
se obtine:
a/5=b/4=c/3=d/6
a+b+c+d=360
4a=5b; b=4a/5
3a=5c; c=3a/5
5d=6a ;d=6a/5

a+4a/5+3a/5+6a/5=360
18a=360*5
a=100°
b=400/5=80°
c=300/5=60°
d=600/5=120°
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Total : 360°