Question

masurile a 4 unghiuri formate in jurul unui punct sunt direct proportionale cu nr 2 5 7 respectiv 10 . determina masurile celor 4 unghiuri.​

Answer 1

Fie 4 unghiuri a,b,c,d.

a,b,c,d sunt unghiuri formate in jurul unui punct, deci rezulta ca suma lor este 360. ( a+b+c+d=360)

{a,b,c,d} d. p. {2,5,7,10} ⇔ a/2=b/5=c/7=d/10=k

a=2k

b=5k

c=7k

d=10k

a+b+c+d=360

2k+5k+7k+10k=360

24k=360

k=15

a=2k=2*15=30

b=5k=5*15=75

c=7k=7*15=105

d=10k=10*15=150

Answer 2

notam unghiurile cu A B C D
stim ca A+B+C+D=360 de grade

A/2=B/5=C/7=D/10=k
2k+5k+7k+10k= 360 de grade
k=360 : 24
=15
A=30
B=75
C=105
D=150