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a+b vs d

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sandy
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a+b vs d [#permalink] New post   25 Sep 2018, 15:42
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Quantity A
Quantity B
a+b
d


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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C
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B
amorphous
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Re: a+b vs d [#permalink] New post   22 Oct 2018, 23:07
1
External angle of a triangle is equal to the sum of opposite internal angles.
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Re: a+b vs d [#permalink] New post   31 Oct 2018, 05:23
c
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Re: a+b vs d [#permalink] New post   01 Nov 2018, 07:54
1
sandy wrote:
Attachment:
Capture.JPG


Quantity A
Quantity B
a+b
d


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.


Here's another solution:

We know that 2 angles on the same line must add to 180°
Image

So, ∠BCA = (180 - d)°
Image

Now let's focus on ∆ABC
Since angles in a triangle must add to 180°, we can write: a + b + (180 - d)° = 180
Simplify: a + b + 180 - d = 180
Subtract 180 from both sides to get: a + b - d = 0
Add d to both sides to get: a + b = d

Answer: C

Cheers,
Brent

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Re: a+b vs d [#permalink] New post   11 Jan 2019, 19:23
C
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Re: a+b vs d [#permalink] New post   10 Jan 2023, 15:44
Hello from the GRE Prep Club BumpBot!

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).

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Re: a+b vs d [#permalink]
10 Jan 2023, 15:44
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