GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If two interior angles of a quadrilateral ABCD are right angles and th
[#permalink]
20 Sep 2021, 03:52
20 Sep 2021, 03:52
Expert Reply
2
Bookmarks
00:00
Question Stats:
36% (02:19) correct
63% (01:57) wrong based on 19 sessions
Hide Show timer Statistics
If two interior angles of a quadrilateral ABCD are right angles and the degree measure of ∠ABC is twice the degree measure of ∠BCD, what could be the measure of the largest interior angle of quadrilateral ABCD?
Indicate all such angles.
A. 90
B. 105
C. 120
D. 135
E. 150
F. 180
Source: manhattanreview
Indicate all such angles.
A. 90
B. 105
C. 120
D. 135
E. 150
F. 180
Source: manhattanreview
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: If two interior angles of a quadrilateral ABCD are right angles and th
[#permalink]
22 Sep 2021, 05:01
22 Sep 2021, 05:01
2
Carcass wrote:
If two interior angles of a quadrilateral ABCD are right angles and the degree measure of ∠ABC is twice the degree measure of ∠BCD, what could be the measure of the largest interior angle of quadrilateral ABCD?
Indicate all such angles.
A. 90
B. 105
C. 120
D. 135
E. 150
F. 180
Indicate all such angles.
A. 90
B. 105
C. 120
D. 135
E. 150
F. 180
Refer to the figure below;
Case I:
90° + 90° + 2x + x = 360°
3x = 180°
x = 60°
Greatest Angle = 120°
Case II:
2x = 90°
x = 45°
Greatest angle = 360° - (90° + 90° + 45°) = 135°
Hence, option C and D
Attachments
If two interior angles of a quadrilateral ABCD are right angles.png [ 6.19 KiB | Viewed 4192 times ]
gmatclubot
Re: If two interior angles of a quadrilateral ABCD are right angles and th [#permalink]
22 Sep 2021, 05:01
Moderators:
