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

It is currently 16 Oct 2019, 02:34

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

In the diagram above, line m and line n are parallel. Given that angl

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58400
In the diagram above, line m and line n are parallel. Given that angl  [#permalink]

Show Tags

New post 05 Mar 2015, 09:57
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (01:17) correct 17% (01:25) wrong based on 62 sessions

HideShow timer Statistics

Attachment:
anplotg_img2.png
anplotg_img2.png [ 9.18 KiB | Viewed 2265 times ]
In the diagram above, line m and line n are parallel. Given that angle a = 40° and angle c = 55°, what is the measure of angle b?

A. 85°
B. 90°
C. 95°
D. 100°
E. angle b cannot be determined from the information given


Kudos for a correct solution.

_________________
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7958
In the diagram above, line m and line n are parallel. Given that angl  [#permalink]

Show Tags

New post 05 Mar 2015, 22:15
1
Attachment:
New Microsoft Office Word Document 12.docx [20.51 KiB]
Downloaded 64 times
To download please login or register as a user

Bunuel wrote:
Attachment:
The attachment anplotg_img2.png is no longer available
In the diagram above, line m and line n are parallel. Given that angle a = 40° and angle c = 55°, what is the measure of angle b?

A. 85°
B. 90°
C. 95°
D. 100°
E. angle b cannot be determined from the information given


Kudos for a correct solution.


hi,
ans C.. 95
at any point between the two parallel lines, the angle formed by the two points at the center will be equal to the sum of angle made by these lines with parallel lines(a,c in this case).. a+c=40+55=95..
for explanation of above point ,refer to the solution below
refer the attached drawing when the two points on the parallel lines are joined..
in the drawing a+x+c+y= 180(consecutive interior angles are 180 between two parallel lines)..
or 40+x+55+y=180.. x+y=85...
in the triangle formed by angles x,y and b, x+y+b=180..
or 85+b=180....
so b=95
_________________
Senior Manager
Senior Manager
User avatar
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 403
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Re: In the diagram above, line m and line n are parallel. Given that angl  [#permalink]

Show Tags

New post 06 Mar 2015, 05:32
3
I also go with C.

Since the lines are parallel we get the following shape (i am sorry that it looks so ugly...).
Attachments

lines.png
lines.png [ 3.21 KiB | Viewed 2133 times ]

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58400
Re: In the diagram above, line m and line n are parallel. Given that angl  [#permalink]

Show Tags

New post 08 Mar 2015, 14:48
Bunuel wrote:
Attachment:
The attachment anplotg_img2.png is no longer available
In the diagram above, line m and line n are parallel. Given that angle a = 40° and angle c = 55°, what is the measure of angle b?

A. 85°
B. 90°
C. 95°
D. 100°
E. angle b cannot be determined from the information given


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:

Imagine we constructed a new line, parallel to lines m & n, through the vertex of the “crook” between the lines. This splits angle b into two smaller angles, b1 & b2.
Attachment:
anplotg_img5.png
anplotg_img5.png [ 9.62 KiB | Viewed 2125 times ]

Notice, by the parallel lines properties, b1 = a and b2 = c, so b = b1 + b2 = a + c. This means b = 40° + 55° = 95°.

Answer = C
_________________
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13159
Re: In the diagram above, line m and line n are parallel. Given that angl  [#permalink]

Show Tags

New post 09 Oct 2018, 07:00
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: In the diagram above, line m and line n are parallel. Given that angl   [#permalink] 09 Oct 2018, 07:00
Display posts from previous: Sort by

In the diagram above, line m and line n are parallel. Given that angl

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne