Given m|n, find the value of x. C (6x-1)º (5x+28)°

Given m||n, the angles that have their measures in function of x are corresponding angles, so their measures are equal.
Then, we can write and solve for x:
[tex]\begin{gathered} 6x-1=5x+28 \\ 6x-5x=28+1 \\ x=29 \end{gathered}[/tex]Answer: the value of x is 29.