One more trigonometry question about finding an angle...?

Question

To expand on my earlier question about finding unknown angles, I had one more question. I have a triangle similar to my last question. One length is known, with the opposite angle unknown. Another angle is known, with an unknown opposite side. One side and its opposite angle are both unknown. I need to find the unknown angle whose opposite side is also unknown, given the known variables. How can I find this angle?

Answer 1

You only have one side and one angle. The other sides can be any length you want and there likewise no single angle that can be found. You need maybe another side or angle and then definite values can be found. As it is there is are an infinite number of solutions however for each angle there will be a defnite length to the opposite side. In principle you should be able to tind that relationship if that is what you want.