Notam unghiurile cu a, b, c, d
1a = 2b = 3c = 6d = k
a + b+ c + d = 360°
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a = k / 1
b = k / 2
c = k / 3
d = k / 6
cmmmc (1; 2; 3; 6) = 6
[tex]a + b+ c + d = 360 \\ \\ \frac{k}{1}+ \frac{k}{2} +\frac{k}{3}+\frac{k}{6}=360 \\ \\ \frac{6k+3k+2k+k}{6} = 360 \\ \\ \frac{12k}{6} = 360 \\ \\ 2k=360 \\ k=360 /2=180[/tex]
a = 180 / 1 = 180°
b = 180 / 2 = 90°
c = 180 / 3 = 60°
d = 180 / 6 = 30°
Problema 2:
Un unghi al unui paralelogram = 35°
Unghiul opus = 35°
Celelalte 2 unghiuri sunt egale si fiecare are masura de 180 - 35 =145°