I echo what has already been proposed, trace it and take measurements. Extend the lines past the curves using a ruler to create an intersect. Use a compass to find the angle. You can get very specific with the curve in photoshop but personally, I would leave the access and extend the art to these regions. When you order the art you apply and trim the excess.
Normally, I would want to get a perfect set of measurements including the curvature but a steady hand with the exacto knife can get you the results you are looking for.
Good luck!