Respuesta :

To solve this problem, you set up the equation 45+(2x-5)=180

Next, subtract 45 from 180 to get the equation 2x-5=135

After that, add 5 to 135 to get 2x=140

Diviode 140 by 2 to get X=70

Answer:

x=70

Step-by-step explanation:

45 degree and 2x-5 are inside the parallel lines

45 abd 2x-5 are consecutive interior angles

Two consecutive interior angles are supplementary

So the sum of two angle are equal to 180 degree

[tex]45+2x-5= 180[/tex]

Combine like terms

[tex]40+2x= 180[/tex]

Subtract 40 from both sides

[tex]2x= 140[/tex]

Divide both sides by 2

[tex]x=70[/tex]