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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: 53066
Which of the following statements must be true about the figure shown  [#permalink]

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21 Oct 2018, 20:57
00:00

Difficulty:

5% (low)

Question Stats:

92% (01:01) correct 8% (00:38) wrong based on 49 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 458 times ]

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WE: Supply Chain Management (Energy and Utilities)
Re: Which of the following statements must be true about the figure shown  [#permalink]

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21 Oct 2018, 21:36
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 371 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, 03:42
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, 03:42
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