Question

14.Dados os ângulos complementares e suplementares, determine o
valor de x.
b)
x + 20°
5x + 12°
2x + 15°
4x + 10°
c)
d)
be
8x + 10°
6x + 30°
3x + 30°
2x - 10°​

Answer 1

Resposta:

a) 5x+12° + 2x+15° = 90°

5x + 2x + 12° + 15° = 90°

7x + 27° = 90°

7× = 90° - 27°

7x = 63°

x = 63°/7

x = 9°

b) x+20° + 4x+10° = 90°

x + 4x + 20° + 10° = 90°

5x + 30° = 90°

5x = 90° - 30°

5x = 30°

x = 30°/5

x = 6°

c) 8x+10° + 6x+30° = 180°

8x + 6x + 10° + 30° = 180°

14x + 40° = 180°

14x = 180° - 40°

14x = 140°

x = 140°/14

x = 35°

d) 3x+30° + 2x-10° = 180°

3x + 2x + 30° - 10° = 180°

5x + 20° = 180°

5x = 180° - 20°

5x = 160°

x = 160°/5

x = 32°