• 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
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • 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
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh

Line segments AB and CD meet at point C,

This topic has 1 expert reply and 1 member reply

Line segments AB and CD meet at point C,

Post Fri Dec 08, 2017 7:06 am
Line segments AB and CD meet at point C, the midpoint of segment AB. There are two angles formed, each of whose measures is less than 180°. If one of the angles is 5 times as large as the other, what is the degree measure of the smaller angle?

(A) 30
(B) 36
(C) 144
(D) 150
(E) 180

The OA is A.

I know that option C, D and E are incorrect. But how can I know what is the correct option between A and B? Experts, I need your help here please.

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Top Reply
Post Fri Dec 08, 2017 2:35 pm
Hi VJesus12,

We're told that line segments AB and CD meet at point C, the midpoint of segment AB. There are two angles formed, each of whose measures is less than 180° and one of the angles is 5 TIMES as large as the other. We're asked for the degree measure of the SMALLER angle. This question can be solved by TESTing THE ANSWERS.

The 2 angles described in the prompt essentially split the line into 2 pieces - and the SUM of those 2 angles will be 180 degrees. We know the larger angle is 5 TIMES the smaller angle, so let's start with Answer A and see what the larger angle (and total) would be...

Answer A: 30 degrees

IF....
the smaller angle is 30 degrees...
then the larger angle is 5(30) = 150 degrees
30 + 150 = 180 degrees - and that fits everything that we're told, so this must be the answer.

Final Answer: A

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

_________________
Contact Rich at Rich.C@empowergmat.com

  • +1 Upvote Post
  • Quote
  • Flag
GMATWisdom Master | Next Rank: 500 Posts Default Avatar
Joined
29 Nov 2017
Posted:
100 messages
Upvotes:
14
Top Reply
Post Fri Dec 08, 2017 10:18 am
VJesus12 wrote:
Line segments AB and CD meet at point C, the midpoint of segment AB. There are two angles formed, each of whose measures is less than 180°. If one of the angles is 5 times as large as the other, what is the degree measure of the smaller angle?

(A) 30
(B) 36
(C) 144
(D) 150
(E) 180

The OA is A.

I know that option C, D and E are incorrect. But how can I know what is the correct option between A and B? Experts, I need your help here please.
sum of both the angles formed is 180

this has to be divided into 1 : 5

so one angle would be 180/6 = 30

and the other angle would be 180-30 = 150

measure of smaller angle = 30

hence A is correct option

  • +1 Upvote Post
  • Quote
  • Flag

Top First Responders*

1 GMATGuruNY 108 first replies
2 Brent@GMATPrepNow 41 first replies
3 Rich.C@EMPOWERgma... 35 first replies
4 Jay@ManhattanReview 25 first replies
5 Scott@TargetTestPrep 11 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description GMATGuruNY

The Princeton Review Teacher

154 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

129 posts
3 image description Scott@TargetTestPrep

Target Test Prep

103 posts
4 image description Rich.C@EMPOWERgma...

EMPOWERgmat

81 posts
5 image description Max@Math Revolution

Math Revolution

80 posts
See More Top Beat The GMAT Experts