Two points have polar coordinates as follows: θ=130°,r=.35 (point A) and θ=70°,r=.6 (point B). There is a surrounding circle, r=1, that acts as a mirror, and you wish to send a light ray from point A to point B by bouncing it once off the circle. What two alternative directions could you send it in (use an angular measure paralleling the θ coordinate it would have if directed from the origin)?
(In reply to The objective of the problem
Well, I'm happy to say that I (also) did report the angular measure of the reflected angle in my earlier comment... which (assuming I did it correctly) should satisfy what you were looking for.