Estrada West
03/31/2024 · Primary School
\( \alpha+\beta=180^{\circ} \) Sustituyendo los valores de \( \alpha \) y \( \beta \) : \( \left(2 x-18^{\circ}\right)+\left(5 x-5^{\circ}\right)=180^{\circ} \) Simplificando la ecuación: \( 7 x-23^{\circ}=180^{\circ} \)
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Step-by-step Solution
Para resolver la ecuación \( 7 x-23^{\circ}=180^{\circ} \), primero sumamos \( 23^{\circ} \) a ambos lados de la ecuación:
\[ 7 x - 23^{\circ} + 23^{\circ} = 180^{\circ} + 23^{\circ} \]
\[ 7 x = 203^{\circ} \]
Luego, dividimos ambos lados de la ecuación entre 7 para encontrar el valor de \( x \):
\[ x = \frac{203^{\circ}}{7} \]
\[ x = 29^{\circ} \]
Por lo tanto, el valor de \( x \) es \( 29^{\circ} \).
Quick Answer
El valor de \( x \) es \( 29^{\circ} \).
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