Question

Find the value of x that makes line m parallel to line
n.
(4x - 23)
n
{
(2x + 17)

Answer 1

Answer:

20

Step-by-step 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

Answer 2

Answer:

$x=20$

Step-by-step explanation:

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

$4x-23=2x+17$

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

$4x=2x+40$

$4x-2x=2x+40-2x$

$2x=40$

$\frac{2x}{2}=\frac{40}{2}$

$x=20$