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.)
Six angles.
An angle is formed by two rays with a common endpoint.
vertical opposite equal angles
An angle is formed by two rays with a common endpoint.
An angle is formed by a point on the end and two rays
Six angles.
3
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.
An angle is formed by two rays with a common endpoint.
21 - including one of 360 degrees.
4
10 rays can meet in 45 vertices. At each such vertex there will be 4 angles which makes 180 angles in all.
It is 360 degrees.
vertical opposite equal angles
An angle is formed by two rays with a common endpoint.
An angle is formed by two rays with a common endpoint.
Ten.Each angle is determined by two rays, so the answer is equivalent to the number of combinations of 2 out of 5 = 5*4/(2*1) = 10