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.
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Each pair of rays forms an angle.
If we have 30 rays, the total number of pairs of rays is:
30C2
=435
So, 435 angles are formed in total.
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