Question

Find the value of x that makes line m parallel to line

n.
(4x - 23)
n
{
(2x + 17)

Answer 1

`x=20`

Explanation:

Alternate exterior angles are a pair of equal angles on opposite sides of the transversal.

`4x-23=2x+17`

`4x-23+23=2x+17+23`

`4x=2x+40`

`4x-2x=2x+40-2x`

`2x=40`

`(2x)/(2)=(40)/(2)`

`x=20`

Answer 2

20

Explanation:

If lines m and n are parallel, then the labelled angles would be considered alternate exterior angles. By definition, such angles are of the same value.

Thus, we set the two expressions of 4x - 23 and 2x + 17 equal:

4x - 23 = 2x + 17

Subtract 2x from both sides and add 23 to both sides:

2x = 23 + 17 = 40

Divide by 2:

x = 40/2 = 20

The answer is thus 20.

~ an aesthetics lover