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In the above figure, ABC, BD, BE, BF, BG and BH are all line segments.

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V
Joined: 02 Sep 2009
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In the above figure, ABC, BD, BE, BF, BG and BH are all line segments. [#permalink]

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New post 01 Aug 2017, 04:45
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A
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C
D
E

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82% (00:58) correct 18% (00:58) wrong based on 44 sessions

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In the above figure, ABC, BD, BE, BF, BG and BH are all line segments. Which of the following angles may be determined in numbers of degrees?

(A) ∠ABH
(B) ∠ABG
(C) ∠ABF
(D) ∠GBE
(E) ∠EBC


Attachment:
2017-08-01_1348_002.png
2017-08-01_1348_002.png [ 12.86 KiB | Viewed 895 times ]

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In the above figure, ABC, BD, BE, BF, BG and BH are all line segments. [#permalink]

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New post 06 Aug 2017, 12:55
Bunuel wrote:
Image
In the above figure, ABC, BD, BE, BF, BG and BH are all line segments. Which of the following angles may be determined in numbers of degrees?

(A) ∠ABH
(B) ∠ABG
(C) ∠ABF
(D) ∠GBE
(E) ∠EBC


Attachment:
2017-08-01_1348_002.png

Given: ABC is a line segment.

ABC = 180°

Taking given measures of all angles:

4a + 2b = 180
2a + b = 90

Angles ABF and FBC both equal 2a + b and therefore can be determined in number of degrees: 90. Angle ABF is the option in

Answer C
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Re: In the above figure, ABC, BD, BE, BF, BG and BH are all line segments. [#permalink]

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New post 08 Aug 2017, 02:05
ABF = 90
if we know this then the other angles also make sense in terms of measurement
Re: In the above figure, ABC, BD, BE, BF, BG and BH are all line segments.   [#permalink] 08 Aug 2017, 02:05
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In the above figure, ABC, BD, BE, BF, BG and BH are all line segments.

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