Sorry that the question seems confusing at first, since brilliant glitched and didn’t save my edits :/
As in the figure, there are rays . . Let be a rod which overlaps ray . As ray rotates counter-clockwise around point at a speed of per second, there are moments when one of bisects the angle formed by the other two.
It rotates COUNTER-CLOCKWISE :)
Denote time as in seconds. . If above scenario happens at , submit your answer as the product of all possible values of , in this example submit .
- There is no angle greater than or less than . No angle equals or .
- This must be explained further:
- Here bisects while is not considered as a bisector at all.
- Angle bisectors are rays. Rays, straight lines and line segments are to be STRICTLY DISTINGUISHED FROM ONE ANOTHER.