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26 Apr 2007, 13:37
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I usually dont have problem with geometry, but then it is only usually 
Can someone EXPLAIN , please, how to approach it?
Thanks!
Can someone EXPLAIN , please, how to approach it?
Thanks!
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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26 Apr 2007, 14:38
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botirvoy
Ok, my first try on the forum...
RQS = RSQ = 180 - PQS (1)
TSU = TUS = 180 - PUS (2)
RSQ + X + TSU = 180 (3)
PQS + x + PUS +90 = 360 (4)
(1) and (2) give 360 - PQS - PUS = RSQ + TSU
Combine with (3)
360 - PQS - PUS = 180 - X
Combine with (4)
180 - X = X + 90
2X = 90
X = 45
Cheers
26 Apr 2007, 15:15
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Nice job, CerealsMBA! I'm going to lay out my solution, but a little more detailed.
[1] tells us that RSQ=RQS Insufficient
[2] tells us that TSU=TUS Insufficient
Now it's time to look at all the other angles in the picture and try to relate them to one another.
180-PQS=RQS=RSQ (from above)
180-PUS=TUS=TSU (from above)
RSQ+x+TSU=180
Substitute in the equations above and simplify:
180-PQS+x+180-PUS=180
360+x-PQS-PUS=180
180+x=PQS+PUS
PQS+x+PUS+90=360 (this is because the given shape can be divided into 2 triangles - each equaling 180)
PQS+PUS=270-x
Substitute and solve again:
180+x=270-x
2x=90
x=45
Answer: C
The trick to this one, I think, is to be able to recognize when you have enough data to answer the question. You definitely don't want to spend time solving for x unless you have to.
[1] tells us that RSQ=RQS Insufficient
[2] tells us that TSU=TUS Insufficient
Now it's time to look at all the other angles in the picture and try to relate them to one another.
180-PQS=RQS=RSQ (from above)
180-PUS=TUS=TSU (from above)
RSQ+x+TSU=180
Substitute in the equations above and simplify:
180-PQS+x+180-PUS=180
360+x-PQS-PUS=180
180+x=PQS+PUS
PQS+x+PUS+90=360 (this is because the given shape can be divided into 2 triangles - each equaling 180)
PQS+PUS=270-x
Substitute and solve again:
180+x=270-x
2x=90
x=45
Answer: C
The trick to this one, I think, is to be able to recognize when you have enough data to answer the question. You definitely don't want to spend time solving for x unless you have to.
