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If MN is a straight line, and ∠MQP = 30°, what is ∠RQN?

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If MN is a straight line, and ∠MQP = 30°, what is ∠RQN?  [#permalink]

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New post 28 Jul 2017, 00:41
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D
E

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  15% (low)

Question Stats:

100% (00:34) correct 0% (00:00) wrong based on 17 sessions

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Joined: 18 Aug 2016
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Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
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Re: If MN is a straight line, and ∠MQP = 30°, what is ∠RQN?  [#permalink]

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New post 28 Jul 2017, 00:44
Bunuel wrote:
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If MN is a straight line, and ∠MQP = 30°, what is ∠RQN?

(A) 150°
(B) 140°
(C) 120°
(D) 110°
(E) 100°


Attachment:
2017-07-28_1137_001.png


MQP = 30 => RQM = 60 => RQN = 180-60 =120

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Re: If MN is a straight line, and ∠MQP = 30°, what is ∠RQN?  [#permalink]

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New post 28 Jul 2017, 00:49
Bunuel wrote:
Image
If MN is a straight line, and ∠MQP = 30°, what is ∠RQN?

(A) 150°
(B) 140°
(C) 120°
(D) 110°
(E) 100°


Attachment:
2017-07-28_1137_001.png


\(MN\) is a straight line.

\(∠PQR = 90°\)

\(∠MQP = 30°\)

\(∠PQR = ∠MQP + ∠MQR\)

\(∠MQR = ∠PQR - ∠MQP = 90° - 30°\)

Therefore ; \(∠MQR = 60°\)

\(∠MQR + ∠RQN = 180°\)

\(∠RQN = 180° - 60° = 120°\)

Answer (C)...
GMAT Club Bot
Re: If MN is a straight line, and ∠MQP = 30°, what is ∠RQN?   [#permalink] 28 Jul 2017, 00:49
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If MN is a straight line, and ∠MQP = 30°, what is ∠RQN?

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