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# According to the diagram above, which of the following MUST be true?

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Math Expert
Joined: 02 Sep 2009
Posts: 55668
According to the diagram above, which of the following MUST be true?  [#permalink]

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25 Dec 2018, 07:37
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:00) correct 32% (01:41) wrong based on 41 sessions

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According to the diagram above, which of the following MUST be true?

I. p = x and q = y
II. x + y = 90
III. x = y = 45

A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III

Attachment:

2018-12-25_1830.png [ 7.42 KiB | Viewed 411 times ]

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Re: According to the diagram above, which of the following MUST be true?  [#permalink]

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25 Dec 2018, 11:06
I & III can be true only when the line divides the angles symmetrically i.e p=x=q=y=45

now , x+y=(90-p)+(90-q) = 180-(p+q)
now again by diagram , x=q and y=p
Thus x+y= 180-(x+y) ==>2(x+y)=180 ==> x+y=90 ....... Thus Ans B
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Re: According to the diagram above, which of the following MUST be true?   [#permalink] 25 Dec 2018, 11:06
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