i think the reason we do nock grooves at 45 degrees is this:
more or less, a bow is made where the overall length is twice the draw length plus the handle. That is, each limb handles half the stress. 25" draw means approximately 54 to 56" overall length. each limb, then, equals the draw length. Pretend it is a triangle, with the 3 sides being the string, the arrow, and an imaginary straight line running from handle to tip. Two of the "sides" are equal: in this case, say, 25". It's a right triangle, because the string is pulled perpendicular to the handle. Any right triangle with the base and height being equal (1:1 ratio) gives a resulting 45 degree angle at both other points of the triangle. I know this is a terrible explanation. But draw yourself a picture.
In practice, 45 degrees for the nock groove is NOT usually exact, but it is near enough.