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# If AB = BX and XC = CD in the figure above, what is s in terms of p an

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Math Expert
Joined: 02 Sep 2009
Posts: 58398
If AB = BX and XC = CD in the figure above, what is s in terms of p an  [#permalink]

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25 Feb 2019, 00:02
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Difficulty:

15% (low)

Question Stats:

94% (01:31) correct 6% (03:07) wrong based on 16 sessions

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If AB = BX and XC = CD in the figure above, what is s in terms of p and r?

(A) $$180 - 2(P + r)$$

(B) $$p + r - 90$$

(C) $$2(P + r)$$

(D) $$p + r$$

(E) $$\frac{p + r}{2}$$

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Re: If AB = BX and XC = CD in the figure above, what is s in terms of p an  [#permalink]

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25 Feb 2019, 01:07
since sides are equal so angle p +s+ angle r will be of pt X
and triangle AXD
p+p+r+s+r=180
or say
s=$$180 - 2(P + r)$$
IMO A

Bunuel wrote:

If AB = BX and XC = CD in the figure above, what is s in terms of p and r?

(A) $$180 - 2(P + r)$$

(B) $$p + r - 90$$

(C) $$2(P + r)$$

(D) $$p + r$$

(E) $$\frac{p + r}{2}$$
Re: If AB = BX and XC = CD in the figure above, what is s in terms of p an   [#permalink] 25 Feb 2019, 01:07
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