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# The figure shows that l is parallel to m and ∠ABC=60o, ∠BCD=30o, and ∠

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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The figure shows that l is parallel to m and ∠ABC=60o, ∠BCD=30o, and ∠  [#permalink]

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Updated on: 20 Oct 2019, 00:01
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:59) correct 38% (02:22) wrong based on 26 sessions

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[GMAT math practice question]

The figure shows that $$l$$ is parallel to $$m$$ and $$∠ABC=60^o, ∠BCD=30^o$$, and $$∠CDE=90^o$$. What is the measure of $$∠DEF$$?

$$A. 100^o$$

$$B. 110^o$$

$$C. 120^o$$

$$D. 130^o$$

$$E. 140^o$$

Attachment:

fighre.png [ 17.55 KiB | Viewed 250 times ]

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Originally posted by MathRevolution on 17 Oct 2019, 18:22. Last edited by Bunuel on 20 Oct 2019, 00:01, edited 2 times in total. Senior Manager Joined: 29 Jun 2019 Posts: 467 Re: The figure shows that l is parallel to m and ∠ABC=60o, ∠BCD=30o, and ∠ [#permalink] ### Show Tags 17 Oct 2019, 19:35 MathRevolution wrote: [GMAT math practice question] The figure shows that $$l$$ is parallel to $$m$$ and $$∠ABC=60^o, ∠BCD=30^o$$, and $$∠CDE=90^o$$. What is the measure of $$∠DEF$$? $$A. 100^o$$ $$B. 110^o$$ $$C. 120^o$$ $$D. 130^o$$ $$E. 140^o$$ Sorry! The figure is not visible. Posted from my mobile device _________________ Always waiting Intern Joined: 21 Sep 2016 Posts: 21 Re: The figure shows that l is parallel to m and ∠ABC=60o, ∠BCD=30o, and ∠ [#permalink] ### Show Tags 17 Oct 2019, 20:16 Figure is not visible. Posted from my mobile device Director Joined: 06 Jan 2015 Posts: 693 Location: India Concentration: Operations, Finance GPA: 3.35 WE: Information Technology (Computer Software) Re: The figure shows that l is parallel to m and ∠ABC=60o, ∠BCD=30o, and ∠ [#permalink] ### Show Tags 17 Oct 2019, 22:03 Bunuel, MathRevolution Seems like figure is missing _________________ आत्मनॊ मोक्षार्थम् जगद्धिताय च Resource: GMATPrep RCs With Solution Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8163 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The figure shows that l is parallel to m and ∠ABC=60o, ∠BCD=30o, and ∠ [#permalink] ### Show Tags 20 Oct 2019, 19:13 => Attachment: 10.17ps(a).png [ 24.26 KiB | Viewed 219 times ] We draw lines $$p$$ and $$q$$ parallel to $$l$$ and $$m.$$ When we put $$<DEF = <DHI = <x$$ and $$<GDC=<y,$$ we have $$<HDJ=<DHC=180°-x$$ Since we have $$<ABG=<GCD$$ and $$<GDC=<DCH$$, we have $$60°=30°+<y$$ and $$<y=30°.$$ Since $$<GDC+<CDH+<HDJ=180°$$ or $$<y+90°+180°-<x=180°$$, we have $$30°+270°-<x=180°, 300°-<x=180°$$ or $$<x = <DEF = 120°.$$ Therefore, C is the answer. Answer: C _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: The figure shows that l is parallel to m and ∠ABC=60o, ∠BCD=30o, and ∠   [#permalink] 20 Oct 2019, 19:13
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