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What is the value of a?

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What is the value of a?  [#permalink]

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New post 17 Jan 2019, 23:47
1
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

60% (01:02) correct 40% (01:11) wrong based on 52 sessions

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What is the value of a?  [#permalink]

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New post Updated on: 19 Jan 2019, 03:12
1
Bunuel wrote:
Image
What is the value of a?

A 30
B 50
C 80
D 130
E 150

Attachment:
2019-01-18_1045.png


angle d= angle c = 180-100 = 80
angle a = 80
IMO C

Originally posted by Archit3110 on 18 Jan 2019, 06:09.
Last edited by Archit3110 on 19 Jan 2019, 03:12, edited 1 time in total.
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Re: What is the value of a?  [#permalink]

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New post 18 Jan 2019, 12:48
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If DC=DE <DEC=50 AND <EDC=80, ADE=100. SINCE AB||DE <A=80.

CORRECT ANSWER IS C.

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Re: What is the value of a?  [#permalink]

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New post 18 Jan 2019, 13:39
2
Easy one since line segment ED=DC then <DEC = <DCE=50
Now <EDC + <DEC + <DCE =180
<EDC =180-50-50 =80
Now since AB || DE we have a transversal AC therefore <EDC is corresponding to <BAC =a =80
Answer is C

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Re: What is the value of a?   [#permalink] 18 Jan 2019, 13:39
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What is the value of a?

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