I am just about to lay laminate flooring in my conservatory, unfortunately the conservatory is a hexagonal shape, I was wondering how I would get straight joins on the laminate when I get to my change of angle within the conservatory, would I need to mitre the joints or measure the angle of the hexagon.

Not sure what you have in mind. Are you planning to lay the flooring in a hex pattern also? I would tremble at that job because you will have hundreds of joints that will not be as tight as straight line joints, especially as you get to the center of the room. Why not get a pro to give you an estimate, you don't need to accept the estimate but he may give you some idea of the diffiuclty or even suggestions.