Respuesta :

Answer:

x = 20

Step-by-step explanation:

If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

[tex] \rm \longrightarrow \angle 2 = \angle 5 \\ \\ \rm \longrightarrow 3x - 20 = x + 20 \\ \\ \rm Add \ 20 \ both \ sides: \\ \rm \longrightarrow 3x - 20 + 20 = x + 20 + 20 \\ \\ \rm \longrightarrow 3x = x + 40 \\ \\ \rm Substrate \ x \ from \ both \ sides: \\ \rm \longrightarrow 3x - x = x - x + 40 \\ \\ \rm \longrightarrow 2x = 40 \\ \\ \rm Divide \ both \ sides \ by \ 2: \\ \rm \longrightarrow \frac{ \cancel{2}x }{ \cancel{2}} = \dfrac{40}{2} \\ \\ \rm \longrightarrow x = 20[/tex]

Answer:

x = 20

Step-by-step explanation:

3x - 20 = x + 20

3x - 20 - x = x + 20 - x ( Subtract x from both the right and left side of the equation )

2x - 20 = 20 ( this is the result after subtracting )

2x - 20 + 20 = 20 + 20 ( Add 20 to both sides of the equation )

2x = 40 ( this is the result )

2x / 2 = 40 / 2 ( divide both sides by 2 )

x = 20 ( so x is equal to 20 )

HOPE THIS HELPED