The answer is C - but can someone please explain why? Does the answer have something to do with similar triangles?
This is from GMATPrep (TM) Test.
Thanks.
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Difficult Geometry DS
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GMATpaduan
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karthick451
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I agree with the answer. it is C.
Here is my take
x + angle(RSQ) + angle(UST) = 180
x = 180 - (angle(RSQ) + angle(UST))
angle(RSQ) = (180 - angle(QRS)) /2
angle(UST) = (180 - angle(STU))/2
substituting
x = 180 - (90 +90 - (angle(QRS) + angle(STU))/2))
= 180 - (90 + 90 - 45)
= 45
hence.....
Here is my take
x + angle(RSQ) + angle(UST) = 180
x = 180 - (angle(RSQ) + angle(UST))
angle(RSQ) = (180 - angle(QRS)) /2
angle(UST) = (180 - angle(STU))/2
substituting
x = 180 - (90 +90 - (angle(QRS) + angle(STU))/2))
= 180 - (90 + 90 - 45)
= 45
hence.....
