In quadrilateral ABCD, is angle BCD a right angle?

This topic has expert replies
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770
BTGmoderatorDC wrote:
Sat Dec 21, 2019 8:12 pm
In quadrilateral ABCD, is angle BCD a right angle?

(1) Angle ABC is a right angle.
(2) Angle ADC is a right angle.

OA E

Source: Official Guide
Target question: Is angle BCD a right angle?

When I SCAN the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the target question. So, I’m going to head straight to……

Statements 1 and 2 combined
Here are two quadrilaterals that satisfy BOTH statements:
CASE A: ABCD is a square
Image
In this case, the answer to the target question is YES, angle BCD is a right angle



CASE B: ABCD is not a square
Image
In this case, the answer to the target question is NO, angle BCD is not a right angle

Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image