Question

Find the value of x that makes m|| n.

Answer 1

Answer:

$\huge\boxed{x=23}$

Step-by-step explanation:

In order to find the value of x that makes m || n, we need to note something.

When two parallel lines are cut by a transversal, their angle measures will be the same.

Therefore, in order for m and n to be parallel, their two angles listed must be equivalent.

So, we can set these expression equal to each other and solve for x.

• $7x - 11 = 4x + 58$
• $7x = 4x+ 69$
• $3x = 69$
• $x = 23$

Therefore, x=23.

Hope this helped!