Asap! question attached in file below

All the angles around a point on one side of a line add up to 180°.

A). Look at the angles at point-D, above the line.
     You've got 40° and you've got a right angle ... 90°.
     Those two angles add up to (40° + 90°) = 130°.    
     How much more is needed to make 180° ?
     (180° - 130°) = 50°.  That's angle 'x'.

B).  Look at the angles at point-C, below the line.
       You've got 55°.
       How much more is needed to make 180° ?
       (180° - 55°) = 125°.  That's angle 'y'.
    

The answer is C.

m∠x = 50°
m∠y = 125°

m∠x + 40° = 90°
       x + 40 = 90
           - 40  - 40
               x = 50°

m∠y + 55° = 180°
       y + 55 = 180
           - 55    - 55
               y = 125°