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In the figure above, if a = g, which of the following must be true? In
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09 Dec 2022, 06:24
09 Dec 2022, 06:24
Expert Reply
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Question Stats:
42% (03:15) correct
57% (02:51) wrong based on 7 sessions
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In the figure above, if a = g, which of the following must be true?
Indicate all such statements.
e = f
i = d
e = 90
c + d = 180
i + h = 180
a + d + f = 180
180 – i – h + e = 0
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Official Answer
A,D,F,G
Re: In the figure above, if a = g, which of the following must be true? In
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12 Dec 2022, 04:00
12 Dec 2022, 04:00
Expert Reply
OE
Plug in for a. If a = 40, then b = 140, g = 40, and h = 140. Now plug in for c. If c = 100, then d = 80, i = 100, and j = 80. You know that g, j, and f must add up to 180, so 40 + 80 + f = 180, which means that f = 60, which in turn means that e = 60. Now check your answer choices to see which ones are true. In this case e = f, so keep choice (A). However, i≠ d, so you can eliminate choice (B), and choice (C) is also not true and should be eliminated. 100 + 80 = 180, so you cannot eliminate choice (D). 100 + 140 ≠ 180, so choice (E) is incorrect. 40 + 80 + 60 = 180, so keep choice (F) for now. You have three answers and since this is a must be true question, you should try another set of numbers and test the three choices with the new values to see if the choices are still correct. Choices (A), (D), (F), and (G) are the correct answers.
Plug in for a. If a = 40, then b = 140, g = 40, and h = 140. Now plug in for c. If c = 100, then d = 80, i = 100, and j = 80. You know that g, j, and f must add up to 180, so 40 + 80 + f = 180, which means that f = 60, which in turn means that e = 60. Now check your answer choices to see which ones are true. In this case e = f, so keep choice (A). However, i≠ d, so you can eliminate choice (B), and choice (C) is also not true and should be eliminated. 100 + 80 = 180, so you cannot eliminate choice (D). 100 + 140 ≠ 180, so choice (E) is incorrect. 40 + 80 + 60 = 180, so keep choice (F) for now. You have three answers and since this is a must be true question, you should try another set of numbers and test the three choices with the new values to see if the choices are still correct. Choices (A), (D), (F), and (G) are the correct answers.
gmatclubot
Re: In the figure above, if a = g, which of the following must be true? In [#permalink]
12 Dec 2022, 04:00
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