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06 Apr 2009, 01:23
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08 Apr 2009, 20:21
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Notice that its a 30-60-90 triangle with p=90, r=60, t=30
From1) QRS is equilateral because r=60 and two sides are equal in length. Hence,angle RSQ=60. But we cant say anything about x until we know angle TSU.
From2) angle TSU = angle TUS = 30. We cant say anything about x until we know angle RSQ.
From 1 and 2, x = 180 - 60-30 =90
Hence, C.
From1) QRS is equilateral because r=60 and two sides are equal in length. Hence,angle RSQ=60. But we cant say anything about x until we know angle TSU.
From2) angle TSU = angle TUS = 30. We cant say anything about x until we know angle RSQ.
From 1 and 2, x = 180 - 60-30 =90
Hence, C.
13 Apr 2009, 20:20
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I am not sure how we can notice that...
St1: Since RQ=RS there fore, angle RQS=RSQ=a not suff.
St2: Since ST=TU there fore, angle UST=SUT=b not suff.
From triangle properties we know that angle R+P+T=180
so R+T+P=180
R+T=90
180-2a+180-2b=90
a+b=145
now a+b+x=180
so x=35
Hence C
