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Two Squares (Posted on 2009-04-20) Difficulty: 2 of 5
In the diagram below, ABCD and DEFG are congruent squares, and angle CDG is 60°.

What is angle ACF?

See The Solution Submitted by Charlie    
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re(2): Solution | Comment 4 of 7 |
(In reply to re: Solution by brianjn)

Please be assured that I by no means intended to disparage Charlie, who has contributed many fine puzzles.  I saw no way to get around DCG as equilateral/equiangular (since CDG was given as 60, and DC and DG were also give as equal), from which the proof follows as Rosy showed.  I was uncertain about the drawing to scale because this also made CG equal FG.  My interest and inclinations are more to the logico-numeric than the verbal or geometric, so I should simply have bypassed this one.
  Posted by ed bottemiller on 2009-04-21 10:39:37

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