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26 Dec 2013, 08:52
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E
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Difficulty:
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93% (01:09) correct
7%
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wrong
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The Official Guide For GMAT® Quantitative Review, 2ND Edition
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
Untitled.png [ 13.24 KiB | Viewed 32667 times ]
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
Problem Solving
Question: 7
Category: Geometry Angles
Page: 62
Difficulty: 550
Question: 7
Category: Geometry Angles
Page: 62
Difficulty: 550
GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project
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.
Thank you!
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.
Thank you!
Attachment:
Untitled.png [ 13.24 KiB | Viewed 32667 times ]
09 Mar 2020, 07:40
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Bunuel
F is a point on the line that bisects angle ACD
We're told that ∠ACD = 90°
So, if a line BISECTS ∠ACD, the two resulting angles are each 45°
Since 2 angles on a line add to 180°...
...we can write: x + 45° = 180°
Solve: x = 135°
Answer: E
Cheers,
Brent
General Discussion
26 Dec 2013, 08:53
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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
Untitled.png [ 13.55 KiB | Viewed 30745 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°.
Answer: E.
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 30745 times ]
Answer: E.
