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  # In the diagram below, AB is parallel to CD and BC is parallel to DF.
  
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  Math Expert
  Joined: 02 Sep 2009
  Posts: 54376
  In the diagram below, AB is parallel to CD and BC is parallel to DF.  [#permalink]
  
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  24 Jul 2017, 23:21
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  25% (medium)
  
  Question Stats:
  
  87% (01:28) correct 13% (01:36) wrong based on 55 sessions
  
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  In the diagram below, AB is parallel to CD and BC is parallel to DF. What is the measure of ∠CDE?
  
  (1) ∠ABC = 45°
  (2) ∠EDF = 40°
  
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  2017-07-25_1019.png [ 3.82 KiB | Viewed 1436 times ]
  
  _________________
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  Joined: 06 Feb 2016
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  Concentration: Finance, Accounting
  GMAT 1: 730 Q49 V41
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  Re: In the diagram below, AB is parallel to CD and BC is parallel to DF.  [#permalink]
  
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  26 Jul 2017, 01:40
  St 1: As angle ABC=45 degrees angle CDF=45 degrees, too. No info about angle FDE. Therefore, this statement is insufficient.
  St 2: No info about angle CDF. Insufficient
  
  St 1 + St 2: Angle CDE=angle CDF + angle FDE =45+40=85 Sufficient
  Intern
  Joined: 07 Jun 2017
  Posts: 19
  Re: In the diagram below, AB is parallel to CD and BC is parallel to DF.  [#permalink]
  
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  29 Jul 2017, 01:37
  (angle ABC = angle BCD = angle CDF) + angle FDE
  Re: In the diagram below, AB is parallel to CD and BC is parallel to DF.   [#permalink] 29 Jul 2017, 01:37
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explanation: The text extract is a GMAT question related to geometry, specifically dealing with angles and parallel lines. It presents a diagram and asks for the measure of a specific angle, ∠CDE, providing two statements with information about other angles. The extract does not contain an answer to the question.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: GMAT Question of the Day - Daily to your Mailbox; hard ones only
  
   It is currently 21 Apr 2019, 03:54
  
  ### GMAT Club Daily Prep
  
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  # In the diagram below, AB is parallel to CD and BC is parallel to DF.
  
  Author Message
  TAGS:
  
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  Math Expert
  Joined: 02 Sep 2009
  Posts: 54376
  In the diagram below, AB is parallel to CD and BC is parallel to DF.  [#permalink]
  
  ### Show Tags
  
  24 Jul 2017, 23:21
  1
  00:00
  
  Difficulty:
  
  25% (medium)
  
  Question Stats:
  
  87% (01:28) correct 13% (01:36) wrong based on 55 sessions
  
  ### HideShow timer Statistics
  
  In the diagram below, AB is parallel to CD and BC is parallel to DF. What is the measure of ∠CDE?
  
  (1) ∠ABC = 45°
  (2) ∠EDF = 40°
  
  Attachment:
  
  2017-07-25_1019.png [ 3.82 KiB | Viewed 1436 times ]
  
  _________________
  Intern
  Joined: 06 Feb 2016
  Posts: 48
  Location: Poland
  Concentration: Finance, Accounting
  GMAT 1: 730 Q49 V41
  GPA: 3.5
  Re: In the diagram below, AB is parallel to CD and BC is parallel to DF.  [#permalink]
  
  ### Show Tags
  
  26 Jul 2017, 01:40
  St 1: As angle ABC=45 degrees angle CDF=45 degrees, too. No info about angle FDE. Therefore, this statement is insufficient.
  St 2: No info about angle CDF. Insufficient
  
  St 1 + St 2: Angle CDE=angle CDF + angle FDE =45+40=85 Sufficient
  Intern
  Joined: 07 Jun 2017
  Posts: 19
  Re: In the diagram below, AB is parallel to CD and BC is parallel to DF.  [#permalink]
  
  ### Show Tags
  
  29 Jul 2017, 01:37
  (angle ABC = angle BCD = angle CDF) + angle FDE
  Re: In the diagram below, AB is parallel to CD and BC is parallel to DF.   [#permalink] 29 Jul 2017, 01:37
  Display posts from previous: Sort by
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract is a GMAT question related to geometry, specifically dealing with angles and parallel lines. It presents a diagram and asks for the measure of a specific angle, ∠CDE, providing two statements with information about other angles. The extract does not contain an answer to the question.
  
  Label: question