Question

1- Calcule o valor x nos triângulos:
b)
70°
25
50°
х
55° x
80°
4x
60°
X - 30°
3x
2x
c)
d)​

Answer 1

Explicação passo-a-passo:

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A soma dos ângulos internos de um triângulo é 180°.

a)

$x+70^{\circ} +50^{\circ} =180^{\circ} \\\\x+120^{\circ} =180^{\circ} \\\\x=180^{\circ} -120^{\circ} \\\\\boxed{\boxed{x=60^{\circ} }}$

b)

$x+25^{\circ} +55^{\circ} =180^{\circ} \\\\x+80^{\circ} =180^{\circ} \\\\x=180^{\circ} -80^{\circ} \\\\\boxed{\boxed{x=100^{\circ} }}$

c)

$x-30^{\circ} +60^{\circ} +80^{\circ} =180^{\circ} \\\\x+110^{\circ} =180^{\circ} \\\\x=180^{\circ} -110^{\circ} \\\\\boxed{\boxed{x=70^{\circ} }}$

d)

$2x+3x+4x=180^{\circ} \\\\9x=180^{\circ} \\\\x=\dfrac{180^{\circ} }{9}\\\\\boxed{\boxed{x=20^{\circ} }}$