45 degrees. Cutting it in half the first time creates a semicircle (180 degrees). Cutting that in half gives you a quarter circle (90 degrees). Cutting that in half gives you an eight of a circle (45 degrees).
another way to think about it is 360/8=45.
As 360 * (1/2)^3 = 360 *(1/8) =360/8 = 45
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Jack C
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Hope this helps!