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Line segments AB and CD meet at point C, the midpoint of segment AB.

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Joined: 02 Sep 2009
Posts: 54368
Line segments AB and CD meet at point C, the midpoint of segment AB.  [#permalink]

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28 Jul 2017, 00:46
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Difficulty:

15% (low)

Question Stats:

95% (01:02) correct 5% (01:19) wrong based on 25 sessions

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Line segments AB and CD meet at point C, the midpoint of segment AB. There are two angles formed, each of whose measures is less than 180°. If one of the angles is 5 times as large as the other, what is the degree measure of the smaller angle?

(A) 30
(B) 36
(C) 144
(D) 150
(E) 180

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Joined: 18 Aug 2016
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Re: Line segments AB and CD meet at point C, the midpoint of segment AB.  [#permalink]

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28 Jul 2017, 01:27
Bunuel wrote:
Line segments AB and CD meet at point C, the midpoint of segment AB. There are two angles formed, each of whose measures is less than 180°. If one of the angles is 5 times as large as the other, what is the degree measure of the smaller angle?

(A) 30
(B) 36
(C) 144
(D) 150
(E) 180

AB is a straight line with midpoint C and CD is line segment

Now ACD + BCD = 180
6x = 180
x = 30

A
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Re: Line segments AB and CD meet at point C, the midpoint of segment AB.   [#permalink] 28 Jul 2017, 01:27
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Line segments AB and CD meet at point C, the midpoint of segment AB.

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