In the attached question, I am able to find x but not y. I know that sides of similar triangles are proportionate but that's not helping here. And I guess the third side of the smaller tringle would be (y+3)/2 but how to calculate y?
X would 68 degrees as it is opposite to the propotionate side y+3. (corresponding angles of similar triangles are equal).
Note that B = P = 68 and $x$ = 180 - 54 - 68 = 58. The similar triangles leads to the ratio
$$\frac{y+3}{2y}=\frac y {y+2}$$
Edit: There may some issue with the problem. Either B is 68 or 58 would mean y > y + 2, which is not true.