Can you draw and Isoceles triangle with only one 80° angle. Is this the only possibility or can another triangle be drawn that will meet this conditions?

It is possible to have an isoceles triangle with on 80 degree angle because all sides to a triangle add to 180 degrees so if you minus 180-80=100. There is 3 sides to a triangle so half the 100 and you get 50 which means you get two of the same angles which are 50 degrees. That means that the question is possible and is isoceles.