Respuesta :

maxhwoy
It will be parallel only if angle (2x + 20) equal to 80, or (2x + 20) + 100 equal to 180. Let's use the first example:
1) 2x + 20 = 80
Subtract 20 from the each side:
2) 2x = 80 - 20
3) 2x = 60
Divide everything by 2:
4) 2x/2 = 60/2
5) x = 30
So, the answer will be x = 30. Hope this helps!
akposevictor

The value of x that will make line a to be parallel to line b in the diagram given is: x = 30

Recall:

Corresponding angles are congruent to each other if the two lines they lie on that is cut by a transversal are parallel to each other.

Thus:

(2x + 20) and 80 are corresponding angles, and would be congruent to each other if lines a and b are parallel.

  • Therefore:

[tex]2x + 20 = 80[/tex]

  • Solve for the value of x

[tex]2x + 20 - 20 = 80 - 20\\\\2x = 60\\[/tex]

  • Dive both sides by 2

x = 30

Therefore, the value of x that will make line a to be parallel to line b in the diagram given is: x = 30

Learn more here:

https://brainly.com/question/17903112

Otras preguntas