Answer:
x = 70° ; y = 67°
Explanation:
1) The triangle given in the picture is an isosceles triangle. So, the base angles will be equal to each other. (People do get confused and assume that x is a base angle. But in the figure , the triangle is rotated anticlockwise. So x is not a base angle).
Using angle sum property of triangles,



2) Both the lines are parallel to each other and there's a transversal intersecting both the lines at 2 specific points. So ,
y = 67° (∵ Alternative Interior Angles are equal to each other when two lines are parallel and there's a transversal intersecting them)