GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Oct 2019, 18:31

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If AB||CD, what is the value of x?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58320
If AB||CD, what is the value of x?  [#permalink]

### Show Tags

07 Feb 2019, 07:46
2
1
2
00:00

Difficulty:

55% (hard)

Question Stats:

64% (02:16) correct 36% (02:21) wrong based on 42 sessions

### HideShow timer Statistics

If AB||CD, what is the value of x?

Note: Figure not drawn to scale

A. 75
B. 85
C. 95
D. 105
E. 115

Attachment:

Geometry_009.jpg [ 22.73 KiB | Viewed 770 times ]

_________________
Intern
Joined: 09 May 2018
Posts: 6
Re: If AB||CD, what is the value of x?  [#permalink]

### Show Tags

07 Feb 2019, 08:47
Angle EAB= 180 - (Angle DAE + Angle ADE
Angle EAB= 180 - (55+60)
Angle EAB= 65 (Property of a Quad.)

Angle EAB = Angle FAB = 65

Angle FAB + Angle AFB + Angle ABF = 180
65+40+ Angle ABF =180
Angle AFB= 180-105
Angle AFB=75

Posted from my mobile device
Manager
Joined: 27 Jun 2015
Posts: 54
GRE 1: Q158 V143
Re: If AB||CD, what is the value of x?  [#permalink]

### Show Tags

07 Feb 2019, 08:49
As per the figure AB is parellel to DC then angle bac will be 65 degree.
Then in triangle BAF angle B will be 75 degree

Posted from my mobile device
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4987
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If AB||CD, what is the value of x?  [#permalink]

### Show Tags

07 Feb 2019, 10:20
Bunuel wrote:

If AB||CD, what is the value of x?

Note: Figure not drawn to scale

A. 75
B. 85
C. 95
D. 105
E. 115

Attachment:
The attachment Geometry_009.jpg is no longer available

Solution attached
IMO A

Posted from my mobile device
Attachments

File comment: Solution

IMG_20190207_224923075.jpg [ 3.25 MiB | Viewed 571 times ]

_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8043
Location: United States (CA)
Re: If AB||CD, what is the value of x?  [#permalink]

### Show Tags

10 Feb 2019, 08:34
Bunuel wrote:

If AB||CD, what is the value of x?

Note: Figure not drawn to scale

A. 75
B. 85
C. 95
D. 105
E. 115

Attachment:
Geometry_009.jpg

Since AB || CD, then angle ABC = angle ECF. So angle ECF = x. We see that angle AED = 180 - 55 - 60 = 65, and since angles AED and CEF are vertical angles, angle CEF = 65. Therefore, using triangle CEF, we have:

x + 65 + 40 = 180

x + 105 = 180

x = 75

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: If AB||CD, what is the value of x?   [#permalink] 10 Feb 2019, 08:34
Display posts from previous: Sort by