What is the value of x?

Answer:
Step-by-step explanation:
There are the vertical angles. The vertical angles are congruent. Therefore we have the equation:
[tex]7x-8=6x+11[/tex] add 8 to both sides
[tex]7x-8+8=6x+11+8[/tex]
[tex]7x=6x+19[/tex] subtract 6x from both sides
[tex]7x-6x=6x-6x+19\\\\x=19[/tex]