Given:
A figure in which a transversal line intersect two parallel lines.
and
.
To find:
The value of x and y.
Solution:
We know that, if a transversal line intersect two parallel lines, then
(1) Alternate exterior angles are equal.
(2) Same sided interior angles are supplementary. So their sum is 180 degrees.
In the given figure j and k are parallel lines and l is a transversal line.
From the given figure, it is clear that,
(Alternate exterior angles are equal)
Therefore, the value of x is 20.
Now,
(Same sided interior angles are supplementary)
Therefore, the value of y is 38.