Puzzle – sum of the angles

2007 December 27
by jd2718

I wish I could make nice diagrams…

Consider rectangle ADEH with side ABCD and side EFGH such that AB = BC = CD = DE = EF = FG = GH = HA.

Find the sum of ∠FAD, ∠GAD, and ∠HAD ∠EAD, ∠FAD, and ∠GAD.

Questions in the comments section, above.

Answers? Over here.

7 Responses leave one →
  1. 2007 December 27
    Clueless permalink

    Did you mean the sum of angles EAD, FAD, GAD and HAD?

    IMHO, this is a more interesting answer

  2. 2007 December 27

    Thanks! That’s what I get for posting half-asleep, and without a diagram!

  3. 2007 December 29

    I’ve seen this before … I think it was on a GRE Math Subject practice test!

  4. 2007 December 29

    I took it from a middle grades Russian geometry text, as an extra challenge problem (I think for grade 8, which translates to our grade 9).

    It seems awfully hard, but I do not know what they would have been doing simultaneously. It may have been a smallish extension of something else.

  5. 2009 February 21
    Nm&m permalink

    need the solution to a problem i found on a sample test that i have to take tomorrow. if anyone is able to give me a formula or help to figure out id appreciate it.

  6. 2009 February 21
    Nm&m permalink

    the problem–59 degrees 37′ 18″ – 40 degrees 43′ 22″

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