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M70-11

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Math Expert
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M70-11  [#permalink]

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New post 03 Sep 2018, 02:36
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (00:27) correct 29% (01:29) wrong based on 7 sessions

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Math Expert
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Re M70-11  [#permalink]

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New post 03 Sep 2018, 02:36
Official Solution:

Image
In the figure above, ∠ABC equals


A. \(180 – x – y\)
B. \(x - y\)
C. \(y-x\)
D. \(180 – y+x\)
E. \(y +x\)


We’ll go for ALTERNATIVE because variables in all of the answers.

We can just pick any values for x and y, and see which answers fit what we get. It is better to start checking the answers to see that they do not give similar results. Say we pick x = 10 and y = 120. We get: (A) 180 – 10 – 120 = 50; (B) 10 – 120 = –110; (C) 120 – 10 = 110; (D) 180 – 120 + 10 = 70; and (E) 120 + 10 = 130. Great – all answers are different from one another. Going back to the question, since y is and exterior angle, it equals the sum of the two angles in the triangle that are not adjacent to it. Using our numbers we’ll get: 120 = ∠ACB + 10, so ∠ACB = 110. We already know than answer (C) is the only one that equals 110.


Answer: C
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Re: M70-11  [#permalink]

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New post 30 Oct 2019, 18:48
Why is the explanation solving for angle ACB?
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Re: M70-11  [#permalink]

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New post 07 Apr 2020, 14:09
Same question! I think they just they meant to type ABC
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Re: M70-11   [#permalink] 07 Apr 2020, 14:09

M70-11

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