Question

Найдите неизвестные углы.​

Answer 1

а) x+y+50° = 180°,

x:y = 8:5

x = 8t,

y = 5t

x+y = 180° - 50° = 130°

8t+5t = 130°

13t = 130°

t = 130°/13 = 10°

x = 8t = 8*10° = 80°

y = 5t = 5*10° = 50°

Ответ. x=80°, y = 50°

б) x+2x+3x = 180°,

6x = 180°

x = 180°/6 = 30°,

2x = 2*30° = 60°,

3x = 3*30° = 90°.

Ответ. 30°, 60°, 90°.

в) x+y+z = 180°,

x:y:z = 5:6:7,

x = 5t,

y = 6t,

z = 7t,

x+y+z = 5t+6t+7t = 18t = 180°,

t = 180°/18 = 10°,

x = 5t = 5*10° = 50°

y = 6t = 6*10° = 60°

z = 7t = 7*10° = 70°

Ответ. 50°, 60°, 70°.