work out value of X

Answer:
[tex]x=39[/tex]
Step-by-step explanation:
The figure is a parallelogram
we know that
In a parallelogram opposite angles are congruent and consecutive angles are supplementary
In this problem
[tex]2x\°+(3x-15)\°=180\°[/tex] ----> by consecutive interior angles
solve for x
[tex]5x-15=180[/tex]
[tex]5x=180+15[/tex]
[tex]5x=195[/tex]
[tex]x=39[/tex]