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# Which of the following statements must be true about the figure shown

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Math Expert
Joined: 02 Sep 2009
Posts: 58458
Which of the following statements must be true about the figure shown  [#permalink]

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21 Oct 2018, 21:57
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Difficulty:

5% (low)

Question Stats:

90% (00:59) correct 10% (00:57) wrong based on 53 sessions

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Which of the following statements must be true about the figure shown above?

A. x = a

B. x = b

C. a = b

D. y = b

E. x + y = a + b

Attachment:

triangle.jpg [ 8.63 KiB | Viewed 788 times ]

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Re: Which of the following statements must be true about the figure shown  [#permalink]

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21 Oct 2018, 22:36
1
Bunuel wrote:

Which of the following statements must be true about the figure shown above?

A. x = a

B. x = b

C. a = b

D. y = b

E. x + y = a + b

+1 for (E).
Attachment:
The attachment triangle.jpg is no longer available

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lines.JPG [ 71.04 KiB | Viewed 660 times ]

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Re: Which of the following statements must be true about the figure shown  [#permalink]

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22 Oct 2018, 04:42
Bunuel wrote:

Which of the following statements must be true about the figure shown above?

A. x = a

B. x = b

C. a = b

D. y = b

E. x + y = a + b

Attachment:
triangle.jpg

Looking at figure we can understand that

x + y = 180 and also
a + b = 180
(Sum of consecutive interior angles = 180º)

i.e. x+y = a+b

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Re: Which of the following statements must be true about the figure shown   [#permalink] 22 Oct 2018, 04:42
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