Question

Observe a figura e calcule o valor de x.

Answer 1

$\Large\displaystyle\text{ \begin{gathered} \tt{ 2x - 6 {}^{ \circ} + \frac{3x}{5} + 30 {}^{ \circ} = 180 {}^{ \circ} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{ 2x + 24 {}^{ \circ} + \frac{3x}{5} = 180 {}^{ \circ} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{10x + 120 {}^{ \circ} + 3x = 900 {}^{ \circ} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{ 13x + 120 {}^{ \circ} = 900 {}^{ \circ} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{ 13x = 900 {}^{ \circ} - 120 {}^{ \circ} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{ 13x = 780 {}^{ \circ} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{ x = \frac{780 {}^{ \circ} }{13} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \boxed{ \boxed{\tt{ x = 60 {}^{ \circ} }}} \end{gathered} }$