Răspuns:
D = 90°
E = 60°
F = 30°
Explicație pas cu pas:
[tex]2D = 3E = 6F = k = > D = \frac{k}{2} ; E = \frac{k}{3} ; F = \frac{k}{6}[/tex]
[tex]D + E + F = 180 ^{0}[/tex]
[tex]\frac{k}{2} + \frac{k}{3} + \frac{k}{6} = 180[/tex]
[tex]\frac{3k+2k+k}{6} = 180[/tex]
[tex]\frac{6k}{6} = 180[/tex]
[tex]k = 180[/tex]
[tex]D = \frac{k}{2} = \frac{180}{2} = 90^{0}[/tex]
[tex]E = \frac{k}{3} = \frac{180}{3} = 60^{0}[/tex]
[tex]F = \frac{k}{6} = \frac{180}{6} = 30^{0}[/tex]
