Yeah, 45 degrees is WAY steep for a roof -- that is a 12:12 pitch. Roofs are typically more like a 3:12 pitch or thereabouts (meaning, it falls 3' vertically for every 12' horizontally)
Can I make a suggestion?
Put the coop walls up. Make sure they are REALLY VERTICAL.
Then get a helper on a ladder. And a 2x4 the size you'll be using for your rafters (or trusses or whichever wya you're supporting the roof).
Have the helper stand behind the coop (or in it), and hold the 2x4 up as if it were a rafter, propped on the top of the wall the way it will lie.
Stand back and look at it. Direct your helper ("up more! no, not so much. down a little more. up a little more.") til you have it so it looks right to your eye. Remember that a flatter slope will have more issues with snowload and leaking; a steeper slope takes care of those things better but is more expensive to build (beyond a certain point anyhow) and catches more wind that can stress or tip the structure; so you want a happy medium.
When you have picked a slope that looks reasonable to you, say "Ok, now hold it right there!!!"
Go to the end where the tail of the 2x4 hangs over the sill of the wall. You will need to have a long straightedge (even just a 2'-long scrap of really straight lumber will do) and a pencil. Put the straightedge against your wall, extending up alongside your held-in-place rafter. Trace the line where the vertical straightedge crosses the rafter.
That is your cut angle.
(It is probably not your cut *line*, unless you have also instructed your helper to hold the rafter with the right amount of overhang over the wall -- but you can use a protractor to copy that angle to where you DO want the cuts.
The cut will be the same angle at the peak of the roof as at the rafter-tails, assuming you want vertical fascias which most people do.
There, no math, no vocabulary, just 'hold it up til it looks right and mark it'
Seriously, it works fine
Good luck, have fun,
Pat