Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Re: In the figure above, if F is a point on the line that bisects angle AC
[#permalink]

Show Tags

26 Dec 2013, 07:53

1

1

SOLUTION

In the figure above, if F is a point on the line that bisects angle ACD and the measure of angle DCF is x°, which of the following is true of x ?

(A) 90 <= x <= 100 (B) 100 <= x <= 110 (C) 110 <= x <= 120 (D) 120 <= x <= 130 (E) 130 <= x <= 140

Attachment:

Untitled.png [ 13.55 KiB | Viewed 13655 times ]

Since line BF bisects angle ACD, then angle BCD is 90°/2=45°. Together with angle x they comprise a straight line, which implies that 45°+x=180°. Therefore x=135°.

Re: In the figure above, if F is a point on the line that bisects angle AC
[#permalink]

Show Tags

26 Dec 2013, 21:24

1

1

SOLUTION:

Assume an imaginary point B on the line between A and D. Since angle ACD is 90 and the line bisects ACD, angle ACB = angle DCB = 45. Since a straight line has 180 degree, angle BCD + x = 180 45 + x = 180 x = 135.

i know that square symbol always represents a 90 degree angle in GMAT, here I was confused since angle BCA and angle BCD are also equal because of bisector. Can the symbol in q stem not represent two bisecting angles?
_________________

It's the journey that brings us happiness not the destination.

i know that square symbol always represents a 90 degree angle in GMAT, here I was confused since angle BCA and angle BCD are also equal because of bisector. Can the symbol in q stem not represent two bisecting angles?