Geometry ! find the values of x and y

The values of x and y are and

Step-by-step explanation:

The angles that are formed on opposite sides of the transversal  and inside the two lines and are alternate interior angles.

therefore, from the given image and are alternative interior angle then we have,

∴

Now, to find  the value of x;

as we can see from the image that and are linear pairs.

By linear pairs theorem states that the two angle that form the linear pairs are supplementary.

then,

putting the value of y in above equation we get,

⇒

⇒

Therefore, the values of x and y are and =.