There are several relationships between angles within parallel lines and a transversal.
The value of x is 7
From the question (see attachment), we have:
[tex]\mathbf{(8x + 6)}[/tex] and 118 are exterior and interior angles of the parallel lines
This means that:
[tex]\mathbf{(8x + 6) + 118 = 180}[/tex]
Collect like terms
[tex]\mathbf{(8x + 6) = -118 + 180}[/tex]
[tex]\mathbf{(8x + 6) = 62}[/tex]
Collect like terms
[tex]\mathbf{8x= 62 - 6}[/tex]
[tex]\mathbf{8x= 56}[/tex]
Divide both sides by 8
[tex]\mathbf{x= 7}[/tex]
Hence, the value of x is 7
Read more about angles in parallel lines at:
https://brainly.com/question/2279752
