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Angle B or Angle E

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Carcass
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Angle B or Angle E [#permalink] New post   10 Sep 2021, 10:07
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Attachment:
GRE Angle B or Angle E.jpg
GRE Angle B or Angle E.jpg [ 18.28 KiB | Viewed 1615 times ]



Quantity A
Quantity B
\( m \angle E \)
\(m \angle B \)



A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
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A
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motion2020
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Re: Angle B or Angle E [#permalink] New post   10 Sep 2021, 10:36
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Angle DEC=180-30-Angle DCE
Angle DCE=180-60-Angle BCA
Angle BCA=180-65-70=45

Hence, Angle DEC=180-30-75=75
Quantity A: 75
Quantity B: 70

Quantity A > Quantity B, answer is A
Carcass wrote:
Attachment:
GRE Angle B or Angle E.jpg



Quantity A
Quantity B
\( m \angle E \)
\(m \angle B \)



A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
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Re: Angle B or Angle E [#permalink] New post   10 Sep 2021, 12:40
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for Quantity A:
Angle E+ 30=60+(180-65-70) (Exterior Angle Property)
=>Angle E= 105-30=75

for Quantity B:
Angle B=70
so Quantity A>Quantity B option (A)
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gmatclubot
Re: Angle B or Angle E [#permalink]
10 Sep 2021, 12:40
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