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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
Posts: 41893

Kudos [?]: 128864 [0], given: 12183

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
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

86% (01:12) correct 14% (01:24) wrong based on 25 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


[Reveal] Spoiler:
Attachment:
2017-08-01_1348_002.png
2017-08-01_1348_002.png [ 12.86 KiB | Viewed 459 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 128864 [0], given: 12183

Director
Director
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P
Joined: 22 May 2016
Posts: 812

Kudos [?]: 264 [0], given: 551

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


[Reveal] Spoiler:
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

Kudos [?]: 264 [0], given: 551

Senior Manager
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B
Joined: 15 Jan 2017
Posts: 281

Kudos [?]: 21 [0], given: 622

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

Kudos [?]: 21 [0], given: 622

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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