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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.)

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10y ago
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Q: How many non zero angles are formed in a fan of 30 rays with common angles?
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