• Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT

In the figure above (OG16)

This topic has 1 expert reply and 1 member reply
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
Joined
25 Apr 2016
Posted:
93 messages
Thanked:
1 times

In the figure above (OG16)

Post Thu May 19, 2016 3:48 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])


    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!
    Post 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

    Final Answer: D

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

    _________________
    Contact Rich at Rich.C@empowergmat.com

    OptimusPrep Master | Next Rank: 500 Posts
    Joined
    13 Mar 2015
    Posted:
    410 messages
    Followed by:
    7 members
    Thanked:
    120 times
    GMAT Score:
    770
    Post Thu May 19, 2016 8:07 pm
    boomgoesthegmat wrote:


    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 Prep™

    Optimus Prep™ 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 Prep™ 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

    Best Conversation Starters

    1 Vincen 180 topics
    2 lheiannie07 61 topics
    3 Roland2rule 61 topics
    4 ardz24 40 topics
    5 VJesus12 14 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    160 posts
    2 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    102 posts
    3 image description GMATGuruNY

    The Princeton Review Teacher

    99 posts
    4 image description Jay@ManhattanReview

    Manhattan Review

    86 posts
    5 image description Matt@VeritasPrep

    Veritas Prep

    80 posts
    See More Top Beat The GMAT Experts