Six angles.
There are 435 angles in the figure because (30/2)(30-1) is equal to 15 * 29 and the answer is 435
An angle is formed by two rays with a common endpoint.
An angle is formed by a point on the end and two rays
2 rays
Six angles.
There are 435 angles in the figure because (30/2)(30-1) is equal to 15 * 29 and the answer is 435
4
10 rays can meet in 45 vertices. At each such vertex there will be 4 angles which makes 180 angles in all.
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.
3
An angle is formed by two rays with a common endpoint.
21 - including one of 360 degrees.
An angle is formed by a point on the end and two rays
2 rays
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.)
supplimentary angles