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

 It is currently 23 May 2019, 04:03

### 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

# In the figure above, if angle BAC = 80°, then z =

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55263
In the figure above, if angle BAC = 80°, then z =  [#permalink]

### Show Tags

24 Aug 2017, 01:58
00:00

Difficulty:

15% (low)

Question Stats:

93% (01:07) correct 7% (01:27) wrong based on 58 sessions

### HideShow timer Statistics

In the figure above, if angle BAC = 80°, then z =

(A) 100
(B) 105
(C) 110
(D) 120
(E) 125

Attachment:

2017-08-24_1249_003.png [ 9.98 KiB | Viewed 891 times ]

_________________
Current Student
Joined: 18 Aug 2016
Posts: 618
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: In the figure above, if angle BAC = 80°, then z =  [#permalink]

### Show Tags

24 Aug 2017, 02:47
Bunuel wrote:

In the figure above, if angle BAC = 80°, then z =

(A) 100
(B) 105
(C) 110
(D) 120
(E) 125

Attachment:
2017-08-24_1249_003.png

angle BAC = 80; hence x = 40
angle BCA = 30
hence angle ABC = 180-80-30 = 70
hence y= 35

z = 180 - 35 - 40 = 105
B
_________________
We must try to achieve the best within us

Thanks
Luckisnoexcuse
Manager
Joined: 24 Jun 2013
Posts: 140
Location: India
Schools: ISB '20, GMBA '20
Re: In the figure above, if angle BAC = 80°, then z =  [#permalink]

### Show Tags

24 Aug 2017, 04:11
2x=80, x=40
now in triangle ABC, total angle 80+2y+30=180; y=35
so in smaller triangle , x+y+z=180;40+35+z=180;z=105
_________________
If this post helped you learn something pls give kudos
Math Expert
Joined: 02 Aug 2009
Posts: 7684
Re: In the figure above, if angle BAC = 80°, then z =  [#permalink]

### Show Tags

24 Aug 2017, 04:22
Bunuel wrote:

In the figure above, if angle BAC = 80°, then z =

(A) 100
(B) 105
(C) 110
(D) 120
(E) 125

Attachment:
2017-08-24_1249_003.png

Hi..
We do not require any other MEASURE of angle..
SUM of two other angles =angle A+angle B=2x+2y=180-30=150...X+y=75
Angle z= 180- x+y=180-75=105
B
_________________
Senior Manager
Joined: 29 Jun 2017
Posts: 454
GPA: 4
WE: Engineering (Transportation)
Re: In the figure above, if angle BAC = 80°, then z =  [#permalink]

### Show Tags

24 Aug 2017, 04:30
Bunuel wrote:

In the figure above, if angle BAC = 80°, then z =

(A) 100
(B) 105
(C) 110
(D) 120
(E) 125

Attachment:
2017-08-24_1249_003.png

x+y+z=180
2x=80, x=40
2y+80+30=180
2y=70, y=35
35+40+z=180
z=105

Answer is B
_________________
Give Kudos for correct answer and/or if you like the solution.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6206
Location: United States (CA)
Re: In the figure above, if angle BAC = 80°, then z =  [#permalink]

### Show Tags

29 Aug 2017, 16:22
Bunuel wrote:

In the figure above, if angle BAC = 80°, then z =

(A) 100
(B) 105
(C) 110
(D) 120
(E) 125

Since angle BAC = 80 = 2x, x = 40.

We know that the sum of the interior angles of a triangle is 180 degrees. Thus, angle ABC = 180 - 30 - 80 = 70 = 2y, and so y = 35.

Since x = 40 and y = 35, angle z = 180 - 40 - 35 = 105.

Answer: B
_________________

# 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: In the figure above, if angle BAC = 80°, then z =   [#permalink] 29 Aug 2017, 16:22
Display posts from previous: Sort by

# In the figure above, if angle BAC = 80°, then z =

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.