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Puzzle – sum of the angles

December 27, 2007 am31 10:27 am

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 Comments leave one →
  1. Clueless permalink
    December 27, 2007 pm31 6:08 pm 6:08 pm

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

    IMHO, this is a more interesting answer

  2. December 27, 2007 pm31 7:05 pm 7:05 pm

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

  3. December 29, 2007 am31 6:54 am 6:54 am

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

  4. December 29, 2007 am31 7:05 am 7:05 am

    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. Nm&m permalink
    February 21, 2009 am28 3:15 am 3:15 am

    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. Nm&m permalink
    February 21, 2009 am28 3:16 am 3:16 am

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

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