Answer:
The value of x is, 80 degree.
Step-by-step explanation:
Given the statement:
Parallel lines are crossed by a transversal line.
Interior angles:
If parallel lines are cut by a transversal, then same-side interior angles are supplementary(i.e 180 degree)
From the given figure:
[tex]100^{\circ}[/tex] and [tex]X^{\circ}[/tex] are on the same side.
By definition of interior angle:
[tex]100^{\circ}+X^{\circ}=180^{\circ}[/tex]
Subtract 100 degree from both sides we have;
[tex]X = 80^{\circ}[/tex]
Therefore, the value of x is, 80 degree.
