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Bunuel
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Bunuel

In ∆ ABC above, which of the following must be true?

(A) r + s = x + y
(B) r + s = y – s
(C) r – s = x + y
(D) r – s = x – y
(E) r – s = y – x

Attachment:
2017-09-01_1158.png

In the given triangles, r+x=90 and s+y=90, since the other angle is 90 in the triangles.
therefore, r+x=s+y
or r-s=y-x (E)
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Answer is E.


s+y+90=180
s+y=180-90

r+x=90

r+x=s+y
r-s=y-x
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