Question

determine o valor de x nos triângulos ​

Answer 1

A soma dos ângulos internos de um triângulo é 180.

a.) x + 45 + 90 = 180

   x = 180 - 45 - 90

   x = 45

b.) x + x + x = 180

    3x = 180

    x = 180/3

    x = 60

c.) x + x + 1 + x + 2 = 180

   3x = 180 - 3

   x = 177/3

   x = 59

Answer 2

Explicação passo-a-passo:

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a)

$\mathtt{45 + 90 + x = 180} \\ \mathtt{135 + x = 180} \\ \mathtt{x = 180 - 135} \\ \red {\mathtt{x = 45}}$

b)

$\mathtt{x + x + x = 180} \\ \mathtt{3x = 180} \\ \mathtt{x = \frac{180}{3} } \\ \red {\mathtt{x = 60}}$

c)

$\mathtt{x + x + 1 + x + 2 = 180} \\\mathtt{3x + 1 + 2 = 180} \\ \mathtt{3x + 3 = 180} \\ \mathtt{3x = 180 - 3} \\ \mathtt{3x = 177} \\ \mathtt{x = \frac{177}{3} } \\ \red {\mathtt{x = 59}}$

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