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# In the figure, what is the value of a ?

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Founder
Joined: 18 Apr 2015
Posts: 8120
Followers: 157

Kudos [?]: 1700 [0], given: 7473

In the figure, what is the value of a ? [#permalink]  30 Sep 2018, 01:26
Expert's post
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Question Stats:

81% (01:15) correct 18% (01:53) wrong based on 11 sessions
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#GREpracticequestion In the figure, what is the value of a.jpg [ 21.36 KiB | Viewed 1482 times ]

In the figure, what is the value of a ?

(A) 30
(B) 45
(C) 60
(D) 72
(E) 90
[Reveal] Spoiler: OA

_________________
Intern
Joined: 15 Sep 2018
Posts: 6
Followers: 0

Kudos [?]: 8 [1] , given: 2

Re: In the figure, what is the value of a ? [#permalink]  09 Sep 2019, 22:12
1
KUDOS
By looking at the figure we can determine
a = 2b (vertically opposite angles) (1) and
b = 3c (vertically opposite angles) (2)

Also 6c + 3c + 2b => 9c + 2b = 180 (3)

Substitute (1) and (2) into (3), we get:
3b + a = 180 => 1.5a + a = 180

which gives, a = 180 / 2.5 = 72. Therefore, the answer is D.
Re: In the figure, what is the value of a ?   [#permalink] 09 Sep 2019, 22:12
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