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GRE Prep Club Team Member
Joined: 20 Feb 2017
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If exactly two of the angles of the polygon shown below are
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24 Mar 2020, 08:05
24 Mar 2020, 08:05
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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 1373 times ]
(A) 162°
(B) 174°
(C) 176°
(D) 204°
(E) 216°
Attachment:
6544.jpg [ 10.03 KiB | Viewed 1373 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
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WE:Education (Education)
Re: If exactly two of the angles of the polygon shown below are
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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
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