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03 Apr 2019, 23:06
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
72% (01:52) correct
28%
(02:04)
wrong
based on 83
sessions
History
Date
Time
Result
Not Attempted Yet
Which one of the following relations is true regarding the angles of the quadrilateral shown in figure?
(A) \(∠A = ∠C\)
(B) \(∠B > ∠D\)
(C) \(∠A < ∠C\)
(D) \(∠B = ∠D\)
(E) \(∠A = ∠B\)
Attachment:
#GREpracticequestion Which one of the following relations .jpg [ 20.04 KiB | Viewed 4247 times ]
Vinit800HBS
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Tutor
Joined: 29 Dec 2018
Last visit: 22 Mar 2026
Posts: 90
Given Kudos: 195
Location: India
Schools: HBS '22 Wharton '22 Stanford '22
GRE 1: Q170 V163
Expert reply
06 Apr 2019, 00:41
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Beautiful question.
I would like to take this up.
Firstly, let’s join AC.
Now, In triangle ABC,
Side BC > Side AB
Thus, Angle CAB > angle BCA ...........(1)
——Cause Angle opposite to a larger side is larger.——
In triangle ADC,
Side CD > Side AD
Thus, Angle CAD > angle ACD ..........(2)
From (1) & (2)
Angle CAB + Angle CAD > angle BCA + angle ACD
i.e. Angle A > Angle C
Following the same logic, we construct BD and prove that
Angle B > angle D.
Hence, option B is the correct answer.
Kudos please if you liked the answer
Posted from my mobile device
I would like to take this up.
Firstly, let’s join AC.
Now, In triangle ABC,
Side BC > Side AB
Thus, Angle CAB > angle BCA ...........(1)
——Cause Angle opposite to a larger side is larger.——
In triangle ADC,
Side CD > Side AD
Thus, Angle CAD > angle ACD ..........(2)
From (1) & (2)
Angle CAB + Angle CAD > angle BCA + angle ACD
i.e. Angle A > Angle C
Following the same logic, we construct BD and prove that
Angle B > angle D.
Hence, option B is the correct answer.
Kudos please if you liked the answer
Posted from my mobile device
General Discussion
04 Apr 2019, 12:31
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The image is of quadrilateral which has two lines parallel to each other.
Option A, D and E are completely irrelevant coz there is no relation that those angles can be equal.
In between option B and C, B can be logically correct.
Posted from my mobile device
Option A, D and E are completely irrelevant coz there is no relation that those angles can be equal.
In between option B and C, B can be logically correct.
Posted from my mobile device
