Mark a point and draw rays from it so that all angles between two adjacent rays are obtuse.

Let’s draw four rays from the point. If all four angles are obtuse, that is, each beam is greater than 90º, then the total number of degrees will be greater than 360º, which is impossible. Therefore, the number of rays must be less than four.

Three beams can be drawn from a point so that the angle between them is obtuse and equal to 120º.