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Concyclic Points of Tangency (Posted on 2013-07-02) Difficulty: 3 of 5

Consider four circles each of which is
externally tangent to two of the others.

Prove that the four points of tangency
are concyclic.

See The Solution Submitted by Bractals    
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re: Solution Comment 2 of 2 |
(In reply to Solution by Jer)

I get

AWZ = 90-A/2
BWX = 90-B/2  (not BWC)
ZWX = (A+B)/2
XYZ = (C+D)/2
ZWX+XYZ = (A+B+C+D)/2 = 360/2 = 180

  Posted by Bractals on 2013-07-04 14:29:19
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