Help me with those two questions

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.

answer: t=3

step-by-step explanation: