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180+a or b+c

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Carcass
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180+a or b+c [#permalink] New post   17 Nov 2022, 04:02
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Quantity A
Quantity B
180 + a
b+c



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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KarunMendiratta
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Re: 180+a or b+c [#permalink] New post   29 Nov 2022, 00:16
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Carcass wrote:
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Quantity A
Quantity B
180 + a
b+c



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.




Using Exterior angle property:
b = a + c' and c = a + b'

Col. A: 180 + a
Col. B: b + c

Col. A: 180 + a
Col. B: (a + c') + (a + b')

Col. A: 180 + a
Col. B: 2a + b' + c'

Subtracting a from both:

Col. A: 180
Col. B: a + b' + c'

Since, sum of all interior angles in a triangle is 180

Col. A: 180
Col. B: 180

Col. A = Col. B
Hence, option C
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Re: 180+a or b+c [#permalink]
29 Nov 2022, 00:16
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