It's a bit hard for me to translate math problems to english, but I think you'll be able to understand it:
Points A, B and C are on a circle. The arc between A and B is 1/12 of the circle's perimeter, the arc between B and C is 1/6 of the perimeter. What are the angles of the triangle ABC?
Oh yeah, is this even in the correct section of the forum?
We know that the circumference of a circle is, C=2* *r. Using the information given in the problem, this means that the length of the arc between A and B is (r* )/6 and between B and C is (r* )/3.
Secondly, we know that s=r* where s is the arc length, r is your radius, and is the angle.
Rearranging the above equation will allow you to solve for two of the angles. Simply subtracting them from the total degrees in a triangle will give you the third.
@cheme
But how can I use any of the equations containing r if I don't have the lenght of the radius? Should I just make it up?
Is it even possible to solve this without any additional information?
Edit: @skeeter
I just realised what a major arc is. Thanks. Problem Solved.
α=30°
β=135°
γ=15°