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# If EF is parallel to DG, the length of AB is half of that of

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GMAT Instructor
Joined: 04 Jul 2006
Posts: 1252
If EF is parallel to DG, the length of AB is half of that of  [#permalink]

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14 Oct 2007, 09:37
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If EF is parallel to DG, the length of AB is half of that of AC, the length of CG is equal to that of CD, and the length of DE is equal to that of EF, what is the measure of angle DFE in degrees?

(A) 47.5º (B) 50º (C) 52.5º (D) 55º (E) 57.5º

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Director
Joined: 30 Nov 2006
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14 Oct 2007, 12:07
1
Clearly, the right triangle is a 30:60:90 triangle

So BCA = 30 = DCG
and since DB = GC --> we get 75 for each CDG and CGD
for parallelism, GDF = EFD
and since ED = EF --> EDF = EFD = GDF = X

2X + 75 = 180 --> X = 52.5

I like the question. THANKS FOR SHARING
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Re: If EF is parallel to DG, the length of AB is half of that of  [#permalink]

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17 Oct 2017, 01:29
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Re: If EF is parallel to DG, the length of AB is half of that of &nbs [#permalink] 17 Oct 2017, 01:29
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