If I wanted to draw platonic solids and other shapes that have irrational value angles how is that done?
You need to figure out a means of construction that doesn’t require you to do it by typing in those values.
For these, there are geometric constructions where you don’t need exact angles.
For example, for the icosahedron you only need three perpendicular faces with an aspect ratio in the golden ratio (and the line tool afterwards):
A little more here:
What @Cotty showed using the three golden rectangles is one of the things Ann Tyng taught us in that exercise.