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What is the value of y?
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26 Oct 2022, 01:16
26 Oct 2022, 01:16
Expert Reply
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Question Stats:
92% (01:36) correct
7% (01:33) wrong based on 14 sessions
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What is the value of y?
A. 25
B. 27
C. 29
D. 31
E. 33
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
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WE:Engineering (Computer Software)
Re: What is the value of y?
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28 Oct 2022, 07:20
28 Oct 2022, 07:20
1
In the given figure
(2x + 40)° = (5x - 35)° (Opposite Angles)
=> 5x - 2x = 40 + 35
=> 3x = 75
=> x \(\frac{75}{3}\) = 25
(2x + 40)° + (2y + 24)° = 180° (Supplementary Angles)
=> 2*25 + 40 + 2y + 24 = 180
=> 2y + 114 = 180
=> 2y = 66
=> y = \(\frac{66}{2}\) = 33
So, Answer will be E
Hope it helps!
(2x + 40)° = (5x - 35)° (Opposite Angles)
=> 5x - 2x = 40 + 35
=> 3x = 75
=> x \(\frac{75}{3}\) = 25
(2x + 40)° + (2y + 24)° = 180° (Supplementary Angles)
=> 2*25 + 40 + 2y + 24 = 180
=> 2y + 114 = 180
=> 2y = 66
=> y = \(\frac{66}{2}\) = 33
So, Answer will be E
Hope it helps!
gmatclubot
Re: What is the value of y? [#permalink]
28 Oct 2022, 07:20
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