Question

¡relaciones entre líneas paralelas cortadas por un...
parallel lines and transversals
\\(\overleftrightarrow{cf} \parallel \overleftrightarrow{jk}\\)
pregunta de opción múltiple
¿cuál es la ecuación correcta para plantear este problema?
\\(2x + 26 = x + 32\\)
\\(2x + 26 + x + 32 = 180\\)
volver a ver

Explanation:

To determine the correct equation, we analyze the angles formed by parallel lines \( \overleftrightarrow{CF} \parallel \overleftrightarrow{JK} \) and a transversal. The angles \( (2x + 26)^\circ \) and \( (x + 32)^\circ \) are same - side interior angles. By the property of parallel lines cut by a transversal, same - side interior angles are supplementary, meaning their sum is \( 180^\circ \). So we set up the equation \( (2x + 26)+(x + 32)=180 \), which simplifies to \( 2x + 26+x + 32 = 180 \).

Answer:

\( 2x + 26+x + 32 = 180 \) (the second option in the problem, which is \( 2x + 26+x + 32 = 180 \))