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In ABC, AB = AC

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In ABC, AB = AC [#permalink] New post 05 Jun 2017, 02:49
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Question Stats:

90% (00:46) correct 10% (00:47) wrong based on 10 sessions


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.
[Reveal] Spoiler: OA

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Re: In ABC, AB = AC [#permalink] New post 06 Jun 2017, 12:52
Expert's post
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:
[Reveal] Spoiler:
D


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Re: In ABC, AB = AC   [#permalink] 06 Jun 2017, 12:52
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