2 rays
Six angles.
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.
136 * * * * * Actually there are 17*16 = 272 angles. Assuming the rays do not meet at 180 degrees, each pair of rays forms two angles: one less than 180 deg and one greater.
Assuming none of the rays meet at 180 degrees, each pair of rays gives rise to two angles: one less than 180 deg and one greater. There can, therefore, be a maximum of 30*29 = 870 angles. (There are 435 unique pairs of rays: ab, ac, ad...bc, bd, be, etc.)
2 rays
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.
Depends on how many rays you combine but, normally only 1 angle.
Extend both rays beyond the other side of the vertex.
No.
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.
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.
4
At the point where the rays meet at the mirror, draw a line at right angles to the mirror (normal means 90 degrees)