Roberto folds a circular piece of paper as shown. When he unfolds the paper, how many different-sized central angles (less than 360º) are formed?
(Refer to Picture: http://i49.tinypic.com/os6ayr.png )

Question

Roberto folds a circular piece of paper as shown. When he unfolds the paper, how many different-sized central angles (less than 360º) are formed?
(Refer to Picture: http://i49.tinypic.com/os6ayr.png )

anonymous · Answer

Hint: After the 3rd fold, there are 8 congruent angles: 360/8 = 45. To find how many different angles there are, use multiples of 45 and remember the angles must be less than 360 degrees.

anonymous · Answer

360/x^2

I think lol

anonymous · Answer

no wait
360/2^x

anonymous · Answer

so your answer will be 360/2^3

anonymous · Answer

45

anonymous · Answer

360/45 = 8 there will be 8 45 degree angles but alse I think there will be 4 90 and 2 180

4+8+2

anonymous · Answer

but then there will also be  90+45 degree angles 
180+45 angles this is a bit more complicated than i thought but easy just add them up. Unless you find a nice formula.

directrix · Answer

See attached for solution by Hero. http://openstudy.com/study#/updates/4f24bc49e4b0a2a9c266acf1