6) Let / be a Poincare line and let P be a point not on 1. Drop a perpendicular from P to 1. Let Q be the foot of this perpendicular. Let A and B be two points on / on opposite sides of Q. Let the 1 hyperbolic distance from P to Q be d. Taking the hyperbolic constant, k, to be equal to 1, prove that the measure of angle APB must be less than 4-arctan arctan(ed).

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