If you create a square or rectangle and rotate it around the y axis you will get a cylinder, so you just have to make a rectangle, so there are infinite possible solutions, and I listed one
Since there is a 180 degrees in a straight line and we know that the intersection of one angle is 27 degrees we can can say 180 -27 = 153 degrees. So the four angles would be 27, 27 153, 153