In the figure, ∠4 and ∠6 are alternate interior angles. Given that lines a and b are parallel to each other, then ∠4 and ∠6 must be congruent. So to solve for x, we use the equation:
[tex]2x-6=x+14[/tex]
We simplify the equation to get x.
[tex]\begin{gathered} 2x-6=x+14 \\ 2x-x=14+6 \\ x=20 \end{gathered}[/tex]
The answer is option D, 20.
