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Note: I'm using '*' to denote degrees. I'm just lazy.
The angle at which the ray would initially be reflected at, will be 55*.
So, the angle CAB is 90* - 55* = 35*.
And the angle ACB in the triangle ACB = 180* - (120* + 35*) = 25*.
And the angle complementary to it - the one the final incident makes with the final normal, is, obviously, 90* - 25* = 65*.
Finally, using incident angle = you know what, x = 65*.
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