From the figure we note that the angles a and (6x-5) are vertically opposite, then they are equal. Furthermore tha angles a and b are also equal since they are alternate interior angles. From this we conclude that
[tex]a=b=6x-5[/tex]Once we know that, we see that the angles (7x-10) and b are supplementary then their sum should be 180. From those arguments we have the equation
[tex](7x-10)+(6x-5)=180[/tex]Solving for x, we have
[tex]\begin{gathered} (7x-10)+(6x-5)=180 \\ 7x-10+6x-5=180 \\ 13x-15=180 \\ 13x=180+15 \\ 13x=195 \\ x=\frac{195}{13} \\ x=15 \end{gathered}[/tex]Then x=15 degrees.
