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Sa se afle cinci unghiuri in jurul unui punct care au masurile invers proportionale cu numerele 2 3 4 6 si 12 !

Răspuns :

a=k/2
b=k/3
c=k/4
d=k/6
e=k/12
a+b+c+d+e=360°
k/2+k/3+k/4+k/6+k/12 =360°
6k+4k+3k+2k+k=4320°
16k=4320°
k=270°
a=k/2=270°/2=135°
b=k/3=270°/3=90°
c=k/4=270°/4=67°30'
d=k/6=270°/6=45°
e=k/12=270°/12=22°30'