Geometry problem prove lines are parallel, cyclic quadrilaterals,other parallel lines
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Let ABC be a triangle with orthocentre H and let P be a point on its circumcircle. The line through A parallel to BP meets CH at Q and the line through A parallel to CP meets BH at R.
Prove that QR is parallel to AP
THis question has been bugging me for a very long time. Please put me out of my misery with an easy to follow proof.