What must be the value of x so that lines a and b are parallel lines cut by transversal f?
The value of x is ? i thought it was 84 but thats wrong

we know that
if the lines a and b are parallel lines cut by transversal f
then
[tex](6x-36)=96[/tex] --------> by alternate exterior angles
solve for x
[tex](6x-36)=96\\ 6x=96+36\\6x=132\\x=(132/6)\\x=22\ degrees[/tex]
therefore
the answer is
the value of x is [tex]22\ degrees[/tex]