Question

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

Answer 1

(a,b,c,d) d.p. (2,3,5,8)=
$\frac{a}{2}$ = $\frac{b}{3}$ = $\frac{c}{5}$ = $\frac{d}{8}$

$\frac{a}{2}$ = 2k

$\frac{b}{3}$= 3k

$\frac{c}{5}$ = 5k

$\frac{d}{8}$ = 8k

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

$\frac{b}{3}$ = 3 x 20 = 60 ( b )

$\frac{c}{5}$ = 5 x 20 = 100 (c)

$\frac{d}{8}$ = 8 x 20 = 160 (d )