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

Attachment:

Untitled.png [ 13.55 KiB | Viewed 16048 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
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26 Dec 2013, 22:24

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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?
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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?