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Suppose we are given seven points that are equally spaced around a circle. If P, Q, and R are chosen to be any three of these points, then how many different possible values are there for \(m\angle PQR\)?

 Dec 29, 2018
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Anchoring P at the top of the circle and letting Q be the next point on the circle clockwise from  P

 

R  can  then  be  located at any  5 of of the remaining points on the circle

 

So.... angle PQR can take on 5 possible values

 

cool cool cool

 Dec 29, 2018

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