+188 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 angle PQR?
+6251 There are a total of (62)=15 possible angles
But it turns out that many of the angles are congruent.
The 15 angles are made up of 1 + 2 + 3 + 4 + 5 copies of 5 different angles.
There are only 5 different possible angles
+118704 I've played with this a little and Rom's answer is most likely correct but I do not see why.
If I spent hours on proofs I am sure I could show it but I don't see it intuitively at all.
I was surprised when that angle came up as 77 degrees.
