Notam masurile unghiurilor cu : A , B , C si D.
Le calculam pe fiecare in functie de A.
B=2A
C=[tex] \frac{3B}{8} [/tex] ⇒C=[tex] \frac{6A}{8} [/tex]
D=C ⇒ D=[tex] \frac{6A}{8} [/tex]
A+B+C+D=360 grade
A+2A+[tex] \frac{6A}{8} [/tex]+[tex] \frac{6A}{8} [/tex]=360 grade
Aducem la acelasi numitor.
[tex] \frac{8A+16A+6A+6A}{8} [/tex]=360 grade
[tex] \frac{36A}{8} [/tex]=360
⇒A=80 grade
B=160 grade
C=60 grade
D=60 grade
