Online Geometry theorems, problems, solutions, and related topics.
See complete Problem 75Three Intersecting Circles, Cyclic Quadrilateral, Angles. Level: High School, SAT Prep, College geometryPost your solutions or ideas in the comments.
What points are M and N?If N is the point where ED meets AH, why is it on circle 5?
Thank you for your comment:Line AH and circle 3 meet at M, Line DE and circle 5 meet at N.The graphic was updated.Thank you.
ang EAH = ang EBM ( AEHD cyclic, arc EFM )ang EDH = ang NCH ( NCDH cyclic. arc HGN EAH = EAD ( from P 73, AEHD cyclic )=>EBM = NCH=> PBQ = PCQ ( as vertikal angles )fromgeometry help P39, 16.2PBCQ cyclic