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

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

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New post 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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 [#permalink]

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New post 14 Oct 2007, 12:07
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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

ANSWER: C

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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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New post 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   [#permalink] 17 Oct 2017, 01:29
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