When working with parallel lines, it is important to be familiar with their definition and properties. Let’s go ahead and begin with its definition.

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Parallel lines are lines that are lying on the same plane but will never meet.

Understanding what parallel lines are can help us find missing angles, solve for unknown values, and even learn what they represent in coordinate geometry.

Since parallel lines are used in different branches of math, we need to master them as early as now.

What are the parallel lines?

Parallel lines are equidistant lines (lines having equal distance from each other) that will never meet. 

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9. If $\angle STX$ and $\angle TUZ$ are equal, show that $\overlineWX$ and $\overlineYZ$ are parallel lines.

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10. If $\angle WTU$ and $\angle YUT$ are supplementary, show that $\overlineWX$ and $\overlineYZ$ are parallel lines.

11. Since it was shown that $\overlineWX$ and $\overlineYZ$ are parallel lines, what is the value $\angle YUT$ if $\angle WTU = 140 ^\circ$?

12. If $\overlineWX$ and $\overlineYZ$ are parallel lines, what is the value of $x$ when $\angle WTU = (5x – 36) ^\circ$ and $\angle TUZ = (3x – 12) ^\circe$?