I am a brand new user to Blender and am having difficulty finding a way to "set" angles between faces for a mesh I am transforming. Currently, the angles are off very slightly, and I have been manually trying to transform it until I can get the correct angle. I was able to get close with angles 80.541, and 116.513, but they need to be 85.0 and 116.5 exactly. When trying to explicitly set the XYZ values by typing in a number in the Transform Controls, the angle measurements disappear which makes it difficulty to know if I have gotten the correct angle until I select the face again. Thank you very much for the help!
Here is what I have currently: