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Soluções para a tarefa
Questão 2: Em cada item a seguir, os ângulos em destaque são OPOSTOS PELO VÉRTICE, Qual o valor de X em cada caso?
Ângulos opostos pelo vértice são congruentes, ou seja tem a mesma medida.
A) 5x - 70° = 2x + 20°
5x - 70° = 2x + 20°5x = 20° + 70°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°B) 2x - 20° = x + 20°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°B) 2x - 20° = x + 20°2x = x + 20° + 20°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°B) 2x - 20° = x + 20°2x = x + 20° + 20°2x = x + 40°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°B) 2x - 20° = x + 20°2x = x + 20° + 20°2x = x + 40°2x - x = 40°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°B) 2x - 20° = x + 20°2x = x + 20° + 20°2x = x + 40°2x - x = 40°1x = 40°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°B) 2x - 20° = x + 20°2x = x + 20° + 20°2x = x + 40°2x - x = 40°1x = 40°C) 8x - 10° = 6x + 5°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°B) 2x - 20° = x + 20°2x = x + 20° + 20°2x = x + 40°2x - x = 40°1x = 40°C) 8x - 10° = 6x + 5°8x = 6x + 5° + 10°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°B) 2x - 20° = x + 20°2x = x + 20° + 20°2x = x + 40°2x - x = 40°1x = 40°C) 8x - 10° = 6x + 5°8x = 6x + 5° + 10°8x = 6x + 15°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°B) 2x - 20° = x + 20°2x = x + 20° + 20°2x = x + 40°2x - x = 40°1x = 40°C) 8x - 10° = 6x + 5°8x = 6x + 5° + 10°8x = 6x + 15°8x - 6x = 15°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°B) 2x - 20° = x + 20°2x = x + 20° + 20°2x = x + 40°2x - x = 40°1x = 40°C) 8x - 10° = 6x + 5°8x = 6x + 5° + 10°8x = 6x + 15°8x - 6x = 15°2x = 15°
5x - 70° = 2x + 20°5x = 20° + 70°5x - 2x = 90°3x = 90°x = 90°/3x = 30°B) 2x - 20° = x + 20°2x = x + 20° + 20°2x = x + 40°2x - x = 40°1x = 40°C) 8x - 10° = 6x + 5°8x = 6x + 5° + 10°8x = 6x + 15°8x - 6x = 15°2x = 15°x = 15°/2
x = 7,5°
Espero ter te ajudado ;)
a b) eu não lembro como faz, mas espero ter ajudado.
Explicação passo-a-passo:
1-)
a) y = 45°
x = 120°
z = 60°
c) 180 - 110 = 70°
y = 70° e z = 70°
x = 110
d) 180 - 108 = 72°
x = 72° e y = 72° pois são ângulos opostos
z = 108
2-)
a) 5x - 70° = 2x + 20°
5x - 2x = 20 + 70
3x = 90
x = 90 ÷ 3
x = 30°
5 × 30 = 80°
b) x + 20 = 2x + 20
x - 2x = 20 - 20
-x = 0
c) 6x + 5° = 8x - 10°
6x - 8x = -10 + 5
-2x = -15
2x = 15