Question

sa se afle cinci unghiuri in jurul unui punct care au masurile invers proporționale cu numerele 2,3,4,6,12

Answer 1

2a=3b=4c=6d=12e /÷12 , unde a,b,c,d,e sunt cele 5 unghiuri
a/6=b/4=c/3=d/2=e/1=360/15=24
a/6=24 ⇒a=24×6 ⇒a=133°
b/4=24 ⇒b=24×4 ⇒b= 96°
c/3=24 ⇒c=24×3 ⇒c= 72°
d/2=24 ⇒d=24×2 ⇒d=48°
d/1=24 ⇒d=24°

Answer 2

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