Question

2-Analise a imagem a seguir:
podemos afirmar que o valor de X é:
a)10°
b)15°
c)20°
d)25°
e)30°​

Answer 1

Resposta:

Leia abaixo

Explicação passo a passo:

Ângulos opostos pelo vértice são congruentes, ou seja, possuem a mesma medida.

$\mathsf{8x - 90 = 4x - 10}$

$\mathsf{8x - 4x = -10 + 90}$

$\mathsf{4x = 80}$

$\mathsf{x = \dfrac{80}{4}}$

$\boxed{\boxed{\mathsf{x = 20\textdegree}}}\leftarrow\textsf{letra C}$

Answer 2

$\Large\displaystyle\begin{gathered} \sf{ 8x-90=4x-10} \end{gathered}$

$\Large\displaystyle\begin{gathered} \sf{8x-4x=-10+90 } \end{gathered}$

$\Large\displaystyle\begin{gathered} \sf{4x=80 } \end{gathered}$

$\Large\displaystyle\text{ \begin{gathered} \sf{x=\frac{80}{4} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \red{\boxed{\boxed{\sf{x=20^\circ }}}} \end{gathered} }$

$\Large\displaystyle\begin{gathered} \sf{ Gabarito:} \end{gathered}$

$\Large\displaystyle\text{ \begin{gathered} \green{\boxed{\boxed{\sf{ Letra~C}}}} \end{gathered} }$