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Statement made about pool table geomotry

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1. Homework Statement
In the statement made it says there are only 3 angles for any given shot that is makeable .
the three angles are 45,30,15. All conclusions were based from a geometric point of view

2. Homework Equations
I understand how that is to be sorrect but cant fully explain it.tThe other part it says that you start ON THE SIDE THAT DOES NOT FACE THE POCKET.That is the part I dont understand and can not explain.


3. The Attempt at a Solution

6 months of reaserch. Note: I am a self tought kind of person. When I started to solve this equation I new nothing about geometry,after 6 months and help from the internet I do have a fairly good idea of the subject.
 

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