**Concept: The question tests on the ability to solve questions on Probability**

**Solution:**

Please refer to the diagram below

In triangle ABC, Angle ABC = 180 - 75 - 85 = 20

In Triangle BDF, Angle BDF = 180 - 2x and Angle DFB = 180 - 2x (Sum of angles on a straight line = 180)

Therefore 20 + 180 - 2x + 180 - 2x = 180 (Sum of angles of a triangle)

Solving, we get 4x = 200 or x = 50

In Triangle DAE, 75 + x + y = 180

75 + 50 + y = 180 or y = 180 - 125 = 55**Option C**