It is currently 21 Apr 2018, 10:27

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the figure, PSQ is a straight line and RS is perpendicular to ST.

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44599
In the figure, PSQ is a straight line and RS is perpendicular to ST. [#permalink]

### Show Tags

19 Mar 2018, 01:43
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

90% (00:44) correct 10% (01:57) wrong based on 29 sessions

### HideShow timer Statistics

In the figure, PSQ is a straight line and RS is perpendicular to ST. If the measure of angle RSQ = 48°, how many degrees are there in angle PST?

A. 48
B. 90
C. 132
D. 136
E. 138

[Reveal] Spoiler:
Attachment:

2018-03-19_1041.png [ 5.35 KiB | Viewed 385 times ]
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 44599
Re: In the figure, PSQ is a straight line and RS is perpendicular to ST. [#permalink]

### Show Tags

19 Mar 2018, 01:44
Bunuel wrote:

In the figure, PSQ is a straight line and RS is perpendicular to ST. If the measure of angle RSQ = 48°, how many degrees are there in angle PST?

A. 48
B. 90
C. 132
D. 136
E. 138

[Reveal] Spoiler:
Attachment:
2018-03-19_1041.png

For other subjects:
ALL YOU NEED FOR QUANT ! ! !
_________________
examPAL Representative
Joined: 07 Dec 2017
Posts: 292
Re: In the figure, PSQ is a straight line and RS is perpendicular to ST. [#permalink]

### Show Tags

19 Mar 2018, 01:50
Bunuel wrote:
In the figure, PSQ is a straight line and RS is perpendicular to ST. If the measure of angle RSQ = 48°, how many degrees are there in angle PST?

A. 48
B. 90
C. 132
D. 136
E. 138

As our calculation is straightforward, we'll just do it.
This is a Precise approach.

$$\angle$$PST = 360 - $$\angle$$RST - $$\angle$$RSP
We're told that $$\angle$$RST = 90 and we can calculate $$\angle$$RSP as 180 - 48 = 132.
Then $$\angle$$PST = 360 - 90 - 132 = 138.

_________________

David
Senior tutor at examPAL
Signup for a free GMAT course

We won some awards:

Save up to \$250 on examPAL packages (special for GMAT Club members)

Intern
Status: Preparing for GMAT
Joined: 07 Nov 2016
Posts: 16
Location: India
Concentration: Technology, Economics
GPA: 3.1
WE: Analyst (Consulting)
Re: In the figure, PSQ is a straight line and RS is perpendicular to ST. [#permalink]

### Show Tags

19 Mar 2018, 13:55
Given ∠RST = 90
=> ∠QST = 90-48 = 42
Now, ∠QST+∠PST= 180
So, ∠PST=180-∠QST= 180-42 = 138

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2273
Re: In the figure, PSQ is a straight line and RS is perpendicular to ST. [#permalink]

### Show Tags

20 Mar 2018, 16:55
Bunuel wrote:

In the figure, PSQ is a straight line and RS is perpendicular to ST. If the measure of angle RSQ = 48°, how many degrees are there in angle PST?

A. 48
B. 90
C. 132
D. 136
E. 138

[Reveal] Spoiler:
Attachment:
2018-03-19_1041.png

Since angle PST + angle TSQ = 180 degrees, and since angle TSQ is 90 - 48 = 42 degrees, angle PST is:

180 - 42 = 138 degrees

_________________

Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: In the figure, PSQ is a straight line and RS is perpendicular to ST.   [#permalink] 20 Mar 2018, 16:55
Display posts from previous: Sort by