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# AB and DE are parallel. Angle BAC = 30 , angle CDE = 50. What is the m

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Math Expert
Joined: 02 Sep 2009
Posts: 58400
AB and DE are parallel. Angle BAC = 30 , angle CDE = 50. What is the m  [#permalink]

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11 May 2016, 03:36
00:00

Difficulty:

15% (low)

Question Stats:

77% (01:04) correct 23% (01:21) wrong based on 64 sessions

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AB and DE are parallel. Angle BAC = 30 , angle CDE = 50. What is the measure of angle ACD ?

A. 100
B. 90
C. 80
D. 70
E. cannot be determined from the information

Attachment:

2016-05-11_1435.png [ 1.86 KiB | Viewed 7155 times ]

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Marshall & McDonough Moderator
Joined: 13 Apr 2015
Posts: 1685
Location: India
Re: AB and DE are parallel. Angle BAC = 30 , angle CDE = 50. What is the m  [#permalink]

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11 May 2016, 04:57
1
AB || DE

Imagine a line segment CX drawn from C towards A, such that CX || AB and CX || DE

ACD = ACX + DCX
ACX = BAC = 30 (Alternate angles)
CDE = DCX = 50 (Alternate angles)
ACD = 30 + 50 = 80

SVP
Joined: 06 Nov 2014
Posts: 1873
AB and DE are parallel. Angle BAC = 30 , angle CDE = 50. What is the m  [#permalink]

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11 May 2016, 05:31
Attachment:

Angles.JPG [ 15.09 KiB | Viewed 5537 times ]

As per the figure, angle ACD = angle ACP + angle PCD = 30 + 50 = 80

Correct Option: C
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Joined: 09 Sep 2013
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Re: AB and DE are parallel. Angle BAC = 30 , angle CDE = 50. What is the m  [#permalink]

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10 Oct 2018, 14:25
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Re: AB and DE are parallel. Angle BAC = 30 , angle CDE = 50. What is the m   [#permalink] 10 Oct 2018, 14:25
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