Masurile unghiurilor unui patrulater converx sunt proportionale cu numerele 2,3,5 si 8.Calculati masurile acestor unghiuri.

(a,b,c,d) d.p. (2,3,5,8)=
[tex] \frac{a}{2} [/tex] = [tex] \frac{b}{3} [/tex] = [tex] \frac{c}{5} [/tex] = [tex] \frac{d}{8} [/tex]

[tex] \frac{a}{2} [/tex] = 2k

[tex] \frac{b}{3} [/tex]= 3k

[tex] \frac{c}{5} [/tex] = 5k

[tex] \frac{d}{8} [/tex] = 8k

Si o sa facem operatia : 2k+3k+5k+8k = 360·
k=360:18
=K =20
apoi imultim
[tex] \frac{a}{2} [/tex] = 2 x 20 = 40 ( a )

[tex] \frac{b}{3} [/tex] = 3 x 20 = 60 ( b )

[tex] \frac{c}{5} [/tex] = 5 x 20 = 100 (c)

[tex] \frac{d}{8} [/tex] = 8 x 20 = 160 (d )