Question

1) Determine o ângulo x desse triângulos:​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{x + 50\textdegree + 30\textdegree = 180\textdegree}$

$\mathsf{x + 80\textdegree = 180\textdegree}$

$\mathsf{x = 180\textdegree - 80\textdegree}$

$\boxed{\boxed{\mathsf{x = 100\textdegree}}}$

Answer 2

✅ Após resolver os cálculos, concluímos que o valor numérico em graus para a incógnita "x" é:

              $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf x = 100^{\circ}\:\:\:}}\end{gathered} }$

Sejam os ângulos:

                    $\Large\begin{cases} \widehat{E} = 50^{\circ}\\\widehat{F} = x\\\widehat{G} = 30^{\circ}\end{cases}$

Sabemos que a soma das medidas dos ângulos internos de qualquer triângulo sempre será 180º. Então, temos:

                            $\Large\displaystyle\begin{gathered} S_{I} = 180^{\circ}\end{gathered}$

         $\Large\displaystyle\begin{gathered} \widehat{E} + \widehat{F} + \widehat{G}= 180^{\circ}\end{gathered}$

     $\Large\displaystyle\begin{gathered} 50^{\circ} + x + 30^{\circ} = 180^{\circ}\end{gathered}$

                               $\Large\displaystyle\begin{gathered} x = 180^{\circ} - 50^{\circ} - 30^{\circ}\end{gathered}$

                               $\Large\displaystyle\begin{gathered} x = 100^{\circ}\end{gathered}$

✅ Portanto, o valor de "x" é:

                               $\Large\displaystyle\begin{gathered} x = 100^{\circ}\end{gathered}$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

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