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When you trisect an angles you cut the angle into three angles of equal measure with how many rays?
2 rays
How many angles are formed by 3 rays that have a common endpoint and no two rays are on the same line?
Six angles.
How many angles in 30 rays?
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.
How many non-zero angles are formed in a fan of 17 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.
How many non zero angles are formed in a fan of 30 rays with common angles?
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.)
