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 \(m\angle PQR\)?
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