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# In the figure above, AE, DE, CE and BE are line segments and ∠DEC = 1

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Math Expert
Joined: 02 Sep 2009
Posts: 52161
In the figure above, AE, DE, CE and BE are line segments and ∠DEC = 1  [#permalink]

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04 Sep 2018, 22:35
00:00

Difficulty:

35% (medium)

Question Stats:

86% (00:39) correct 14% (00:36) wrong based on 14 sessions

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In the figure above, AE, DE, CE and BE are line segments and ∠DEC = 108°. What is the measure of ∠AED ?

(1) AC is a line
(2) The distance from E to D is equal to the distance from E to B.

Attachment:

image020.jpg [ 1.34 KiB | Viewed 195 times ]

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In the figure above, AE, DE, CE and BE are line segments and ∠DEC = 1  [#permalink]

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04 Sep 2018, 23:13
Bunuel wrote:

In the figure above, AE, DE, CE and BE are line segments and ∠DEC = 108°. What is the measure of ∠AED ?

(1) AC is a line
(2) The distance from E to D is equal to the distance from E to B.

Attachment:
image020.jpg

(1) AC is a line
is sufficient to tell us that AED = 180 -108 = 72

(2) The distance from E to D is equal to the distance from E to B.
ED=EB
if AC is not a line or a line segment
there is no guarantee whether sum of both the angles=180
insufficient

A
In the figure above, AE, DE, CE and BE are line segments and ∠DEC = 1 &nbs [#permalink] 04 Sep 2018, 23:13
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