we know that
Vertical angles are a pair of opposite and congruent angles formed by intersecting lines
In this problem
[tex](7x-8)=(6x+11)[/tex] --------> by vertical angles
Solve for x
Combine like terms
[tex](7x-6x)=(11+8)[/tex]
[tex]x=19\ degrees[/tex]
therefore
the answer is
the value of x is [tex]19\ degrees[/tex]
