Question

Question #16f10

Answer 1

`x=26`

Explanation:

Because the lines are parallel, `4x-20` should equal 84.
Set the two equal: `4x-20 = 84`
Add 20 to both sides: `4x = 104`
Divide both sides by 4 to get x by itself: `x = 26`

Answer 2

`x=26`

Explanation:

`"the angles associated with parallel lines"`

`4x-20=84larrcolor(blue)"corresponding angles are equal"`

`"add 20 to both sides"`

`4xcancel(-20)cancel(+20)=84+20`

`rArr4x=104`

`"divide both sides by 4"`

`(cancel(4) x)/cancel(4)=104/4`

`rArrx=26`