Actually Welcome to the Concept of the Parallel lines and Transvell.
We here are going to use the concept of Corresponding angles, co- interior angles and linear pair also Adjacent angles.
hence, we get as,
1.) x = 60° , y = 60°.....(vertically opposite angles)
2.) x = 120° , y = 120°
3.) x = 105° , y = 75°
4.) x = 140° and y = 40°
All are above done.