Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 May 2017, 11:35

### 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 below figure, what is angle PBC? 1. ABCD is a square

Author Message
CEO
Joined: 20 Nov 2005
Posts: 2898
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 25

Kudos [?]: 289 [0], given: 0

In the below figure, what is angle PBC? 1. ABCD is a square [#permalink]

### Show Tags

13 Feb 2006, 16:48
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

In the below figure, what is angle PBC?

1. ABCD is a square
2. PDC is an equilateral triangle
Attachments

Quadrilateral.jpg [ 7.39 KiB | Viewed 806 times ]

_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Manager
Joined: 13 Aug 2005
Posts: 135
Followers: 1

Kudos [?]: 1 [0], given: 0

### Show Tags

13 Feb 2006, 17:29
It is C.
From 1. We know only that all the sides are the same and angles are 90.
not suf.
From 2. angle PDC = DPC = CDP=60 not suf.

Together.
Angle PCB = 90-60=30,
PC=BC =>agle BPC = PBC=(180-30)/2=75
Suf.
Manager
Joined: 01 Feb 2006
Posts: 100
Followers: 1

Kudos [?]: 0 [0], given: 0

### Show Tags

13 Feb 2006, 17:33
C. Both statements are sufficient together.

CP == CB
Angle CPB = 30 degrees

Angle PBC = (180-30)/2 = 75 degrees
CEO
Joined: 20 Nov 2005
Posts: 2898
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 25

Kudos [?]: 289 [0], given: 0

### Show Tags

13 Feb 2006, 17:57

How can I be so silly.... you guys are rigjt.
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Intern
Joined: 09 Feb 2006
Posts: 20
Location: Raleigh, NC
Followers: 0

Kudos [?]: 0 [0], given: 0

### Show Tags

13 Feb 2006, 20:14
(i) and (ii) are clearly insufficient on their own.

Rule out A,B,D.

With (i) n (ii) together:

- If Triangle PDC is equilateral, PCD = 60 and PCB = 30 as its a square.
- Triangle PBC is Isoceles with the angle opp to base = 30
- The other 2 angles CPB and CBP are hence (180-30)/2 = 75

Manager
Joined: 01 Feb 2006
Posts: 100
Followers: 1

Kudos [?]: 0 [0], given: 0

### Show Tags

13 Feb 2006, 20:29
ps_dahiya wrote:
:wall

How can I be so silly.... you guys are rigjt.
Did you try drawing it out yourself. That always helps me.
VP
Joined: 06 Jun 2004
Posts: 1057
Location: CA
Followers: 2

Kudos [?]: 159 [0], given: 0

### Show Tags

13 Feb 2006, 21:11
Agree with everyone's working, PBC = 75 degrees. C
_________________

Don't be afraid to take a flying leap of faith.. If you risk nothing, than you gain nothing...

Intern
Joined: 10 Nov 2005
Posts: 36
Location: India
Followers: 0

Kudos [?]: 1 [0], given: 0

### Show Tags

14 Feb 2006, 00:58
Manager
Joined: 14 Dec 2005
Posts: 74
Followers: 1

Kudos [?]: 5 [0], given: 0

### Show Tags

19 Feb 2006, 12:35
how did u guys come to the conclusion that triangle PBC is isoscles?
thanks
siva
Manager
Joined: 01 Feb 2006
Posts: 100
Followers: 1

Kudos [?]: 0 [0], given: 0

### Show Tags

19 Feb 2006, 13:30
Avis wrote:
how did u guys come to the conclusion that triangle PBC is isoscles?
thanks
siva
ABCD is a square. pdc is an egquilateral triangle that shares a side with square ABCD. Sides DC aand BC are clearly equal since they are part of the same square. Side PC = DC = BC. PC and BC form the second triangle with an angle of 30 degrees. A 30 degree angle with 2 equal sides proves that it is an isosceles triangle.

Hope it helps. Not sure I explained very well. Try drawing it out. It makes it much easier. The innacurate drawing could really throw ppl off.
Re: not following   [#permalink] 19 Feb 2006, 13:30
Display posts from previous: Sort by

# In the below figure, what is angle PBC? 1. ABCD is a square

 Powered by phpBB © phpBB Group and phpBB SEO 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®.