x = 85 degrees and
y = 45 degrees.
Explanation:
Step 1:
The angle for a straight line is 180°. The sum of the angles in a triangle is 180°. These two statements are required to solve this problem.
The angles of x° and 95° are on a single straight line.
So


So the angle of x is 85°.
Step 2:
The sum of the angles in a triangle is 180°.
So



So the angle of y is 45°.