Question

Below are two parallel lines with a third line intersecting them

Answer 1

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

Answer 2

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:

$x+114=180$

Subtract 114 from both sides to isolate x:

$x+114-114=180-114\\\\x=66$

The value of x is 66°.

:Done