There are 435 angles in the figure because (30/2)(30-1) is equal to 15 * 29 and the answer is 435
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
Six angles.
12
900
There are 435 angles in the figure because (30/2)(30-1) is equal to 15 * 29 and the answer is 435
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
Six angles.
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.
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
2 rays
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.