Depends on how many rays you combine but, normally only 1 angle.
2 rays
Six angles.
900
10 rays can meet in 45 vertices. At each such vertex there will be 4 angles which makes 180 angles in all.
12
if the rays have no common points, the answer is zero. if the rays all have the same end point, the answer is 21 -- counting only the acute angles.
4
There is 1 angle between each pair of rays. So 30 rays equals 30 angles. But, if the angles are likened to the spokes of a bicycle wheel, should the 30 rays not completely fill the circumference of the wheel, the 2 outer rays also form an angle. So the possible total is 31 angles.
2 rays
The letter "N" as two acute angles.
For a polygon with n sides (n angles), there are (n - 1) remote interior angles for each exterior angle.
We'll get a n number of vertical angles (pairs)