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Angle to cut crown molding to make mantel shelf?

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http://boards.diynetwork.com/eve/forums/a/tpc/f/5721916776/m/6683916577

Dec 02, 2013, 12:43 AM
quanghoc
Angle to cut crown molding to make mantel shelf?
I am planning to make a fireplace mantel shelf using existing crown molding (the bottom photo). I am just not good at math to figure out the best practice out there to cut this. So let say if I need to cut the molding with angle alpha (a) as in the photo, how do I cut the side pieces so they can fit perfectly (or near perfect) to cover the 2 sides? Any easy way to calculate this?