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

 It is currently 22 Apr 2019, 09:15

### 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

# In the figure above, if m is parallel to n, and a = 40, then b + c + d

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 54436
In the figure above, if m is parallel to n, and a = 40, then b + c + d  [#permalink]

### Show Tags

01 Aug 2017, 05:01
00:00

Difficulty:

(N/A)

Question Stats:

82% (00:40) correct 18% (01:03) wrong based on 24 sessions

### HideShow timer Statistics

In the figure above, if m is parallel to n, and a = 40, then b + c + d + e =

(A) 140
(B) 160
(C) 200
(D) 360
(E) 560

Attachment:

2017-08-01_1350_001.png [ 5.82 KiB | Viewed 681 times ]

_________________
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12
In the figure above, if m is parallel to n, and a = 40, then b + c + d  [#permalink]

### Show Tags

01 Aug 2017, 06:59
Quote:

If a=40, b=c=140
because sum of angles in a straight line is 180 degree(a+b=180 and a+c=180)

Because m || n, we can say that b=d and c=e(corresponding angles)
Therefore, b+c+d+e = 2(b+c) = $$2(140+140) = 2(280) = 560$$(Option E)
_________________
You've got what it takes, but it will take everything you've got
Manager
Joined: 14 Apr 2017
Posts: 248
Location: India
sandeep : sharma
GPA: 3.9
Re: In the figure above, if m is parallel to n, and a = 40, then b + c + d  [#permalink]

### Show Tags

01 Aug 2017, 08:10
Bunuel wrote:

In the figure above, if m is parallel to n, and a = 40, then b + c + d + e =

(A) 140
(B) 160
(C) 200
(D) 360
(E) 560

Attachment:
2017-08-01_1350_001.png

from the figure above it is clear :
b=c

Also b=d ( angle made by a line on parallel lines)

also d=e
combining all three equations
b=c=d=e--------------------- equation (A)

also from the figure a+b=180 =>b=180-40=140
b+c+d+e=4 b (using equation (A)
b+c+d+e=4*140=560

hence (E)
_________________
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2825
Re: In the figure above, if m is parallel to n, and a = 40, then b + c + d  [#permalink]

### Show Tags

02 Aug 2017, 13:33
Bunuel wrote:

In the figure above, if m is parallel to n, and a = 40, then b + c + d + e =

(A) 140
(B) 160
(C) 200
(D) 360
(E) 560

Attachment:
2017-08-01_1350_001.png

Since angle a is 40, angle b = 180 - 40 = 140, and angle c also = 140. Since angle b is equal to angle d and angle c is equal to angle e (each pair of these angles are corresponding angles), then angles d and e are also each equal to 140.

Thus, b + c + d + e = 140 x 4 = 560.

_________________

# Jeffrey Miller

Jeff@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

Re: In the figure above, if m is parallel to n, and a = 40, then b + c + d   [#permalink] 02 Aug 2017, 13:33
Display posts from previous: Sort by