Answer:
the value of x is;
[tex]8[/tex]
Given the figure in the attached image;
the angle 114 degree and the angle 15x-6 are corresponding angles, which implies that they are equal;
[tex](15x-6)^{\circ}=114^{\circ}[/tex]
Solving for x;
[tex]\begin{gathered} 15x-6=114 \\ 15x=114+6 \\ 15x=120 \\ x=\frac{120}{15} \\ x=8 \end{gathered}[/tex]
Therefore, the value of x is;
[tex]8[/tex]
