Simon ,
Thank you for your speedy reply.
No, I am aware of the selection precedence. After leaving this post, being desperate, I used the sketch Move function and copied the sketch to an adjacent position.
This removed all of the constraints from the drawing. I deleted the original and moved the copy back to the original location. I reapplied the locks to the curved lines and then the tangent constraint worked as I expected. I don't know if this is a bug or feature but it seemed that Alibre thought that the straight line segment was constrained in some way.