Answer:
Option A is correct.
[tex]x =150^{\circ}[/tex]
Step-by-step explanation:
It is given that [tex]\overline{AB}[/tex] is parallel to [tex]\overline{CD}[/tex]
To find the value of x:
labelled the diagram as shown in the attachment:
[tex]\angle DOQ = 30^{\circ}[/tex]
[tex]\angle COE = \angle DOQ = 30^{\circ}[/tex] {Vertically opposite angle}
Corresponding angles theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding add up to 180 degree.
[tex]x + 30^{\circ} = 180^{\circ}[/tex]
[tex]x = 180 -30 = 150^{\circ}[/tex]
therefore, the value of [tex]x =150^{\circ}[/tex]
