See complete Problem 75

Three Intersecting Circles, Cyclic Quadrilateral, Angles. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

## Monday, May 19, 2008

### Elearn Geometry Problem 75

Labels:
angle,
circle,
cyclic quadrilateral

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What points are M and N?

ReplyDeleteIf N is the point where ED meets AH, why is it on circle 5?

Thank you for your comment:

ReplyDeleteLine 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 )

ReplyDeleteang EDH = ang NCH ( NCDH cyclic. arc HGN

EAH = EAD ( from P 73, AEHD cyclic )

=>

EBM = NCH

=>

PBQ = PCQ ( as vertikal angles )

from

geometry help P39, 16.2

PBCQ cyclic