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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If ABCD is a rectangle, what is the value of y+z tagged by: fskilnik@GMATH ##### This topic has 1 expert reply and 0 member replies ### GMAT/MBA Expert ## If ABCD is a rectangle, what is the value of y+z ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMATH practice exercise (Quant Class 15) If ABCD is a rectangle, what is the value of y+z ? (1) x = 40 (2) M is the midpoint of line segment BC, and N is the midpoint of line segment CD Answer: ____(A)__ _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1434 messages Followed by: 32 members Upvotes: 59 fskilnik@GMATH wrote: GMATH practice exercise (Quant Class 15) If ABCD is a rectangle, what is the value of y+z ? (1) x = 40 (2) M is the midpoint of line segment BC, and N is the midpoint of line segment CD Obs.: all angles are measured in degrees. $$\left( {{\rm{Vertex}}\,A\,,\,\,{\rm{see}}\,\,{\rm{first}}\,\,{\rm{figure}}} \right)\,\,\,\,\,\left( {90 - y} \right) + x + \left( {90 - z} \right) = 90\,\,\,\,\, \Rightarrow \,\,\,\,\,\,y + z = x + 90\,\,\,\,\,\left( * \right)$$ $$? = y + z\,\,\,\,\,\mathop \Leftrightarrow \limits^{\left( * \right)} \,\,\,\,\,\boxed{\,? = x\,}$$ $$\left( 1 \right)\,\,\,x = 40\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\text{SUFF}}.$$ $$\left( 2 \right)\,\,{\rm{INSUFF}}.\,\,\,:\,\,\,{\rm{geometric}}\,\,{\rm{bifurcation}}\,\,\left( {{\rm{see}}\,\,{\rm{images}}} \right)$$ The correct answer is (A). We follow the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br • Award-winning private GMAT tutoring Register now and save up to$200

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