Răspuns:
Explicație pas cu pas:
2)
A/1 = B/2 = C/3 = D/4 = k
A = k
B = 2k
C = 3k
D = 4k
A + B + C + D = 360°
k + 2k + 3k + 4k = 360°
10k = 360°
k = 360° : 10 = 36°
A = 36°
B = 2 x 36° = 72°
C = 3 x 36° = 108°
D = 4 x 36° = 144°
____________________________
3)
A
B = 2A/3
C = A/6
D = 5B/4 = 5A/6
A + B + C + D = 360°
A + 2A/3 + A/6 + 5A/6 = 360°
12A/12 + 8A/12 + 2A/12 + 10A/12 = 360°
32A/12 = 360°
A = 12*360°/32 = 135°
B = 2*135°/3 = 90°
C = 136°/6 = 22,5° = 22°30'
D = 5*135/6 = 112,5° = 112°30'