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## Data Sufficiency (Triangles)

This topic has 1 member reply
Tsadori Newbie | Next Rank: 10 Posts
Joined
16 Nov 2006
Posted:
4 messages

#### Data Sufficiency (Triangles)

Sun Jan 21, 2007 1:39 pm
SOURCE: GMATPrep

Attachments

Argen Junior | Next Rank: 30 Posts
Joined
07 Jan 2007
Posted:
24 messages
1
Thu Mar 01, 2007 2:45 pm
It's intuitive that either alone is not sufficient, so lets think about both statements together. Lets label some angles here: Let angles QRS=y, RQS=QSR=a, STU=z, UST=TUS=b. Now, y+z=90 because triangle RPT is a right triangle. We observe that y=180-2a and z=180-2b. So 180-2a+180-2b=90, which simplifies to 270-2(a+b)=0. We also observe that a+b+x=180, so a+b=180-x. Then 270-2(180-x)=0, and x=45. So the answer is C.

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