• Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

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

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • 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
  • 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
  • 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
  • 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

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
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
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
Master | Next Rank: 500 Posts Default Avatar
Joined
29 Nov 2017
Posted:
100 messages
Upvotes:
14
Top Reply
Post
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 Jay@ManhattanReview 84 first replies
2 Brent@GMATPrepNow 73 first replies
3 fskilnik 50 first replies
4 GMATGuruNY 37 first replies
5 Rich.C@EMPOWERgma... 16 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 fskilnik

GMAT Teacher

199 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

166 posts
3 image description Scott@TargetTestPrep

Target Test Prep

118 posts
4 image description Jay@ManhattanReview

Manhattan Review

98 posts
5 image description Max@Math Revolution

Math Revolution

95 posts
See More Top Beat The GMAT Experts