Answer:

Explanation:
In order to find the value of x and y in this, we have to note a couple of angle relationships.
We know that angles
and
are the same because they are corresponding angles. This means that when a line intersects two parallel lines, the angles formed are congruent to the second line.
This means both expressions for the line will be equal to each other:

We can now solve for x.
Add 19 to both sides:

Subtract 9x from both sides:

Divide both sides by 4:

Now that we know that x = 11, we can use another angle relationship to find y.
We know that
and
are supplementary angles. This means their angle measurements add up to 180°.
Since we know the value of x, we can find the measure of the angle
.

So the
angle is equal to 124 degrees. Since this and
are supplementary, that means
must be equal to
degrees.

Subtract 5 from both sides:

Divide both sides by 17:

So, x = 11 and y = 3.
Hope this helped!