Question: A point is chosen at random from within the circumcircle of a triangle with angles 45, 75, 60 . What is the probability that the

A point is chosen at random from within the circumcircle of a triangle with angles 45, 75, 60 . What is the probability that the point is closer to the vertex with an angle of 45o than either of the two other vertices? (Sol: 3/8)

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