• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to $200 Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code ## In the figure above (OG16) This topic has 1 expert reply and 1 member reply boomgoesthegmat Senior | Next Rank: 100 Posts Joined 25 Apr 2016 Posted: 93 messages Upvotes: 1 #### In the figure above (OG16) Thu May 19, 2016 3:48 pm ttp://postimg.org/image/5t37yr5oh/" target="_blank"> In the figure above, if z = 50, then x+ y = A) 230 B) 250 C) 260 D) 270 E) 290 OA: D Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums! OptimusPrep Master | Next Rank: 500 Posts Joined 13 Mar 2015 Posted: 410 messages Followed by: 7 members Upvotes: 120 GMAT Score: 770 Top Reply Thu May 19, 2016 8:07 pm boomgoesthegmat wrote: ttp://postimg.org/image/5t37yr5oh/" target="_blank"> In the figure above, if z = 50, then x+ y = A) 230 B) 250 C) 260 D) 270 E) 290 OA: D Since we need to find the value of x + y, we can solve the question intelligently to save some time. In the smaller triangle, angles are 180 - y, 90 and 180 - x 180 - y + 90 + 180 - x = 180 x + y = 270 Correct Option: D _________________ Ankur 99th Percentile GMAT Tutor | Optimus Prepâ„¢ Optimus Prepâ„¢ GMAT Courses: www.Optimus-Prep.com/GMAT Free Online Trial Hour: http://www.optimus-prep.com/request-free-online-trial-hour/ Free GMAT Study Plan: http://www.optimus-prep.com/ebook/ Optimus Prepâ„¢ Rates: GMAT Private Tutoring Online:$80-100/hr.*
GMAT Private Tutoring In-Person: $130-150/hr.* GMAT On Demand Course:$299 (Use Discount Code BEATTHEGMAT111)*

*All GMAT Courses Have A 50 Points Score Improvement Or Full Refund Guarantee

### GMAT/MBA Expert

Rich.C@EMPOWERgmat.com Elite Legendary Member
Joined
23 Jun 2013
Posted:
8949 messages
Followed by:
468 members
2867
GMAT Score:
800
Thu May 19, 2016 4:59 pm
Hi boomgoesthegmat,

This question requires an understanding of similar triangles, "line" rules (specifically that the angles on a line sum to 180 degrees) and that the angles in a triangle sum to 180 degrees.

We're told that Z=50. Since the two triangles have the same angles (they both have a 90 and the same angle "next" to angle X), we know that the triangles are similar. This means that Z and the angle "next" to Y are the SAME (meaning that they BOTH = 50).

By extension, Y + 50 = 180, so Y = 130.

The angles in the smaller triangle are 90, 50 and the missing angle. 90+50 = 140, so the missing angle = 40.

40 + X = 180, so X = 140

Thus, X+Y = 130+140 = 270

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

### Best Conversation Starters

1 lheiannie07 112 topics
2 swerve 64 topics
3 LUANDATO 64 topics
4 ardz24 61 topics
5 AAPL 57 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

227 posts
2 Brent@GMATPrepNow

GMAT Prep Now Teacher

176 posts
3 Jeff@TargetTestPrep

Target Test Prep

168 posts
4 Rich.C@EMPOWERgma...

EMPOWERgmat

138 posts
5 GMATGuruNY

The Princeton Review Teacher

129 posts
See More Top Beat The GMAT Experts