What is the value of x in the parallellogram below?

Given:
Side DC=
[tex]5x-6[/tex]Side AB=
[tex]9x-30[/tex][tex]\angle A=110\degree[/tex]Required:
The value of
[tex]x[/tex]Answer:
We know that the opposite sides of the parallelogram are equal.
Therefore,
side DC = side AB
[tex]\begin{gathered} 5x-6=9x-30 \\ 9x-5x=-6+30 \\ 4x=24 \\ x=6 \end{gathered}[/tex]Final Answer:
The value of
[tex]x=6[/tex]