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Calculati unghiurile unui patrulater convex stind ca sunt direct proportionale cu 3-4 -5 si 6

Răspuns :

{x,y,z,t}dp{3,4,5,6}⇒x/3=y/4=z/5=t/6=k
x=3k,y=4k,z=5k,t=6k
x+y+z+t=360
3k+4k+5k+6k=360
7k+11k=360
18k=360⇒k=20
x=3k⇒x=60
y=4k⇒y=80
z=5k⇒z=100
t=6k⇒z=120