Answer:
x=66°
Step-by-step explanation:
Solve for x:
If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:
∠1+∠2=180°
Substitute known values:
[tex]x+114=180[/tex]
Subtract 114 from both sides to isolate x:
[tex]x+114-114=180-114\\\\x=66[/tex]
The value of x is 66°.
:Done
