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.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If exactly two of the angles of the polygon shown below are
[#permalink]
24 Mar 2020, 08:05
24 Mar 2020, 08:05
Expert Reply
00:00
Question Stats:
100% (02:27) correct
0% (00:00) wrong based on 3 sessions
Hide Show timer Statistics
If exactly two of the angles of the polygon shown below are congruent, what is the LEAST possible sum of the degree measures of two of the polygon’s interior angles?
6544.jpg [ 10.03 KiB | Viewed 1144 times ]
(A) 162°
(B) 174°
(C) 176°
(D) 204°
(E) 216°
Attachment:
6544.jpg [ 10.03 KiB | Viewed 1144 times ]
(A) 162°
(B) 174°
(C) 176°
(D) 204°
(E) 216°
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 exactly two of the angles of the polygon shown below are
[#permalink]
12 Feb 2021, 06:06
12 Feb 2021, 06:06
Sum of all interior angles in a Hexagon = 720
So, 124 + 122 + 54 + x + x + \(\frac{4}{5}\)x = 720
300 + \(\frac{14}{5}\)x = 720
x = 150
The angles would be: 54, 120, 122, 124, 150 and 150.
Least possible sum = 54 + 120 = 174
Hence, option B
So, 124 + 122 + 54 + x + x + \(\frac{4}{5}\)x = 720
300 + \(\frac{14}{5}\)x = 720
x = 150
The angles would be: 54, 120, 122, 124, 150 and 150.
Least possible sum = 54 + 120 = 174
Hence, option B
gmatclubot
Re: If exactly two of the angles of the polygon shown below are [#permalink]
12 Feb 2021, 06:06
Moderators:
