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Angle B or Angle E
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10 Sep 2021, 10:07
10 Sep 2021, 10:07
1
Expert Reply
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Question Stats:
77% (01:06) correct
22% (00:30) wrong based on 9 sessions
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Attachment:
GRE Angle B or Angle E.jpg [ 18.28 KiB | Viewed 2527 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
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Re: Angle B or Angle E
[#permalink]
10 Sep 2021, 10:36
10 Sep 2021, 10:36
1
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
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
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
Re: Angle B or Angle E
[#permalink]
10 Sep 2021, 12:40
10 Sep 2021, 12:40
1
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)
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)
