Difference between revisions of "2007 AMC 12B Problems/Problem 11"

(Redirected page to 2007 AMC 10B Problems/Problem 15)
 
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==Solution==
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#REDIRECT [[2007 AMC 10B Problems/Problem 15]]
The angles in a quadrilateral add up to 360, regardless of what shape or size the figure takes. Let <math>x</math> be <math>\angle A</math>, so then:
 
 
 
<math>\angle B=.5x</math>
 
 
 
<math>\angle C=(1/3)x</math>
 
 
 
<math>\angle D=(1/4)x</math>
 
 
 
<math>\angle A+\angle B+\angle C+\angle D=360</math>
 
 
 
<math>x+.5x+(1/3)x+(1/4)x=360</math>
 
 
 
<math>(25/12)x=360</math>
 
 
 
<math>x=172.8</math>
 
 
 
or x is around 173, choice D.
 
 
 
==See Also==
 
{{AMC12 box|year=2007|ab=B|num-b=10|num-a=12}}
 

Latest revision as of 16:22, 5 June 2011