In the figure above, side AB is parallel to side DE, and the measure : Problem Solving (PS)

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In the figure above, side AB is parallel to side DE, and the measure

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Math Expert

Joined: 02 Sep 2009

Posts: 50585

In the figure above, side AB is parallel to side DE, and the measure [#permalink]

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29 Aug 2018, 00:58

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35% (medium)

Question Stats:

74% (01:28) correct

26% (02:40) wrong

based on 47 sessions

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In the figure above, side AB is parallel to side DE, and the measure of angle D is 40% that of angle E, what is the value of angle A?

A. 20
B. 26
C. 44
D. 46
E. 110

Spoiler: ::

Attachment:

image001 (1).gif [ 851 Bytes | Viewed 521 times ]

Spoiler: OA

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Re: In the figure above, side AB is parallel to side DE, and the measure [#permalink]

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29 Aug 2018, 01:01

Angle E = Angle B = 110
angle d = 0.4*110 = 44

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In the figure above, side AB is parallel to side DE, and the measure [#permalink]

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29 Aug 2018, 01:18

pandeyashwin wrote:

Angle E = Angle B = 110
angle d = 0.4*110 = 44

Pandey Ji we need angle A

angle A = angle D = 44 (alternate angle)

or

angle ABC = angle DEC (alternate angle) = 110
angle D = 44
angle ECD = 180 -(110+44) = 26 = angle ACB (vertically opposite)
angle A = 180-(110+26) = 44

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Re: In the figure above, side AB is parallel to side DE, and the measure [#permalink]

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29 Aug 2018, 04:03

Angle B = Angle E = 110

Angle D = 40% of 110 = 44

Angle C = 180 - ( 110 + 44 ) = 26

Angle A = 180 - ( 110 + 26 ) = 44

Hence, C.
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Re: In the figure above, side AB is parallel to side DE, and the measure [#permalink]

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29 Aug 2018, 15:06

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Bunuel wrote:

In the figure above, side AB is parallel to side DE, and the measure of angle D is 40% that of angle E, what is the value of angle A?

A. 20
B. 26
C. 44
D. 46
E. 110

Spoiler: ::

Attachment:

image001 (1).gif

Since we have some parallel lines, there are several pairs of equal angles in this diagram.