Answer:
[tex]x=82^{\circ}[/tex]
Step-by-step explanation:
We can draw a perpendicular line through the two parallel lines to create a pentagon (there is an image attached in case you need to see where the line intersects the two parallel lines). Since the angle sum of a pentagon is [tex]540^{\circ}[/tex], we can solve for [tex]x[/tex].
[tex]x+140+138+90+90 = 540[/tex] (Angle sum of pentagon is [tex]540^{\circ}[/tex])
[tex]x+458=540[/tex] (collect like-terms)
[tex]x=82^{\circ}[/tex]
Hope this helps :)
