Last visit was: 15 Dec 2024, 12:40 It is currently 15 Dec 2024, 12:40
Home
GMAT
Messages
Tests
Schools
Reviews
Social
Chat
My Profile
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
Sub 505 Level|   Geometry|      
avatar
Asifpirlo
avatar
Joined: 10 Jul 2013
Last visit: 26 Jan 2014
Posts: 226
Own Kudos:
1,091
 []
Given Kudos: 102
Posts: 226
Kudos: 1,091
 []
In triangle PQR, QS and SR are angle bisectors and the measu 24 Aug 2013, 15:58
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

87% (01:22) correct 13% (01:58) wrong based on 105 sessions

History

Date
Time
Result
Not Attempted Yet
Attachment:
tria.png
tria.png [ 3.48 KiB | Viewed 28905 times ]
In triangle PQR, QS and SR are angle bisectors and the measure of angle P = 80°. How many degrees are there in angle QSR ?

(A) 115º
(B) 120º
(C) 125º
(D) 130º
(E) 135º
ShowHide Answer
Official Answer
D
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 15 Dec 2024
Posts: 97,886
Own Kudos:
686,152
 []
Given Kudos: 88,273
Products:
GMAT Club Tests Forum Quiz
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,886
Kudos: 686,152
 []
In triangle PQR, QS and SR are angle bisectors and the measu 25 Aug 2013, 06:11
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post

In triangle PQR, QS and SR are angle bisectors and the measure of angle P = 80°. How many degrees are there in angle QSR ?

(A) 115º
(B) 120º
(C) 125º
(D) 130º
(E) 135º

<Q + <R = 180 - 80 = 100;

Q/2 + R/2 = 50 --> angle QSR = 180 - 50 = 130.

Answer: D.
avatar
Asifpirlo
avatar
Joined: 10 Jul 2013
Last visit: 26 Jan 2014
Posts: 226
Own Kudos:
1,091
Given Kudos: 102
Posts: 226
Kudos: 1,091
In triangle PQR, QS and SR are angle bisectors and the measu 25 Aug 2013, 15:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In triangle PQR, QS and SR are angle bisectors and the measure of angle P = 80°. How many degrees are there in angle QSR ?

(A) 115º
(B) 120º
(C) 125º
(D) 130º
(E) 135º

<Q + <S = 180 - 80 = 100;

Q/2 + S/2 = 50 --> angle QSR = 180 - 50 = 130.

Answer: D.

really sweet solution of a sweet PS............... :)
Thanks Boss
avatar
GMAT01
avatar
Joined: 20 Dec 2014
Last visit: 17 Mar 2020
Posts: 16
Own Kudos:
8
Given Kudos: 32
Posts: 16
Kudos: 8
In triangle PQR, QS and SR are angle bisectors and the measu 02 Mar 2015, 06:05
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In triangle PQR, QS and SR are angle bisectors and the measure of angle P = 80°. How many degrees are there in angle QSR ?

(A) 115º
(B) 120º
(C) 125º
(D) 130º
(E) 135º

<Q + <S = 180 - 80 = 100;

Q/2 + S/2 = 50 --> angle QSR = 180 - 50 = 130.

Answer: D.

Bunuel - what throws me off in this question is that I have trouble with the actual visual image. When I initially saw it I froze because QS isn't perpendicular or even connecting to PR so I didn't even think about possibly doing 180 - 80 to get <Q + <S. I viewed the possible angles as I have highlighted in the photo https://pho.to/8whO9
User avatar
anu1706
User avatar
Joined: 15 Jul 2012
Last visit: 13 Jun 2020
Posts: 34
Own Kudos:
115
Given Kudos: 7
Posts: 34
Kudos: 115
In triangle PQR, QS and SR are angle bisectors and the measu 07 May 2015, 02:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In triangle PQR, QS and SR are angle bisectors and the measure of angle P = 80°. How many degrees are there in angle QSR ?

(A) 115º
(B) 120º
(C) 125º
(D) 130º
(E) 135º

<Q + <S = 180 - 80 = 100;

Q/2 + S/2 = 50 --> angle QSR = 180 - 50 = 130.

Answer: D.

Bunuel:

I have not understood, how you have arrived to <Q + <S = 180 - 80 = 100;
Please explain.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 15 Dec 2024
Posts: 97,886
Own Kudos:
686,152
Given Kudos: 88,273
Products:
GMAT Club Tests Forum Quiz
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,886
Kudos: 686,152
In triangle PQR, QS and SR are angle bisectors and the measu 07 May 2015, 03:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
anu1706
Bunuel

In triangle PQR, QS and SR are angle bisectors and the measure of angle P = 80°. How many degrees are there in angle QSR ?

(A) 115º
(B) 120º
(C) 125º
(D) 130º
(E) 135º

<Q + <S = 180 - 80 = 100;

Q/2 + S/2 = 50 --> angle QSR = 180 - 50 = 130.

Answer: D.

Bunuel:

I have not understood, how you have arrived to <Q + <S = 180 - 80 = 100;
Please explain.

There was a typo. It's:
<Q + <R = 180 - 80 = 100;

Q/2 + R/2 = 50 --> angle QSR = 180 - 50 = 130.

Answer: D.
avatar
sharmarahul12
avatar
Joined: 23 Oct 2011
Last visit: 28 Apr 2016
Posts: 10
Own Kudos:
4
Given Kudos: 122
Posts: 10
Kudos: 4
In triangle PQR, QS and SR are angle bisectors and the measu 26 Jul 2015, 12:22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi Bunuel,

Why have u taken Q/2+R/2= 50. Can u please throw some light.

Thanks!
User avatar
ENGRTOMBA2018
User avatar
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,341
Own Kudos:
3,706
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
My Reviews
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
Posts: 2,341
Kudos: 3,706
In triangle PQR, QS and SR are angle bisectors and the measu 26 Jul 2015, 12:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
sharmarahul12
Hi Bunuel,

Why have u taken Q/2+R/2= 50. Can u please throw some light.

Thanks!

Q/2 and R/2 have been taken as QS and RS are angle bisectors (= divide angles PQR and PRQ each into 2 equal angles).

This means <SQR = <PQS = x.....(1) and <PRS = <SRQ = y .....(2)

Thus, from triangle PQR

<P + <Q +<R = 180 ---> 80+<Q+<R = 180 ---> <Q+<R =100 ---> From (1) and (2) above, 2x+2y = 100 ---> x+y =50 (this is same as Q/2 +R/2 = 50)

Now, in triangle SQR ,

<QSR + <SQR + <SRQ = 180 ---> <QSR +x + y = 180 --> <QSR = 180-50=130. D is the correct answer.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,836
Own Kudos:
930
Posts: 35,836
Kudos: 930
In triangle PQR, QS and SR are angle bisectors and the measu 07 Mar 2022, 07:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Bunuel
Math Expert
97886 posts