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In ABC, AB = AC
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05 Jun 2017, 02:49
05 Jun 2017, 02:49
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85% (00:46) correct
14% (00:38) wrong based on 141 sessions
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In triangle ABC, AB = AC
Quantity A |
Quantity B |
The sum of the degree measures of angle B and angle C |
90° |
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: In ABC, AB = AC
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06 Jun 2017, 12:52
06 Jun 2017, 12:52
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Carcass wrote:
In triangle ABC, AB = AC
Quantity A |
Quantity B |
The sum of the degree measures of angle B and angle C |
90° |
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.
If AB = AC, then angle B = angle C
We also know that angle A + angle B + angle C = 180 degrees
Let's test some possible cases.
One possibility is that the three angles are 10°, 10°, and 160°
This means angle B = 10° and angle C = 10°
We get:
Quantity A: 10° + 10° = 20°
Quantity B: 90°
In this case, Quantity B is greater.
Another possibility is that the three angles are 70°, 70°, and 40°
This means angle B = 70° and angle C = 70°
We get:
Quantity A: 70° + 70° = 140°
Quantity B: 90°
In this case, Quantity A is greater.
Answer:
Show: ::
D
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Re: In ABC, AB = AC
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12 Apr 2022, 01:44
12 Apr 2022, 01:44
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
