Question

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

Answer 1

`\huge\boxed{x=23}`

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!