Please help me find the correct answer to this!

Ok, so we know from the diagram, that CA=CB (indicated by the line through each). This means that the triangle is isosceles (as at least two sides are equal).

Base angles of isosceles triangles are the same, so that means 50° = 2x°, and hence x = 50/2 = 25°

So both base angles are 50°;
The angle sum (sum of all internal angles) of a triangle is 180°. So we know that;

50 + 50 + (5y+10) = 180

5y+10 = 80

5y = 70.

So y must be 14

Hope this helped