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In quadrilateral ABCD, what is the value of angle ADC?

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Joined: 10 May 2014
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Kudos [?]: 104 [0], given: 28

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In quadrilateral ABCD, what is the value of angle ADC? [#permalink]

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New post 13 Dec 2014, 16:50
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A
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Difficulty:

  15% (low)

Question Stats:

73% (00:34) correct 27% (00:24) wrong based on 90 sessions

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In quadrilateral ABCD, what is the value of angle ADC?

(1) Angle BAD + Angle ABC + Angle BCD = 280
(2) Angle BAD + Angle ADC + Angle BCD = 300
[Reveal] Spoiler: OA

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Kudos [?]: 104 [0], given: 28

Manager
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Kudos [?]: 104 [0], given: 28

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Re: In quadrilateral ABCD, what is the value of angle ADC? [#permalink]

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New post 13 Dec 2014, 16:53
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I think you don´t need to do any calculation or even draw a diagram for this problem. Just use your common sense.

- Remember that the sum of the interior angles of any quadrilateral is 360º.
- The question asks for the value of a specific angle of the four (angle ADC)
- You can´t assume that other angle/s has/have the same value as ADC has since you don´t know whether this quadrilateral is a square, rectangle, rhombus, or any other type of quadrilateral.

(1) Statement 1 says: All the other 3 angles = 280. Therefore, ADC must equal 80. Sufficient.

(2) Statement 2 has a similar format but says: 2 of the angles + ADC = 300. You can´t know what ADC is since ABC is now not included in this equation. Insufficient.


Takeaways from this question
- Know your Geometry formulae cold
- Don´t assume things away (especially in DS Geometry)
- Be aware of DS Combo Questions
- Be aware of similar-format statements. One could be sufficient and the other insufficient!
_________________

Consider giving me Kudos if I helped, but don´t take them away if I didn´t! :)

What would you do if you weren´t afraid?

Kudos [?]: 104 [0], given: 28

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Posts: 99

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Re: In quadrilateral ABCD, what is the value of angle ADC? [#permalink]

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New post 16 Sep 2017, 20:36
minwoswoh wrote:
I think you don´t need to do any calculation or even draw a diagram for this problem. Just use your common sense.

- Remember that the sum of the interior angles of any quadrilateral is 360º.
- The question asks for the value of a specific angle of the four (angle ADC)
- You can´t assume that other angle/s has/have the same value as ADC has since you don´t know whether this quadrilateral is a square, rectangle, rhombus, or any other type of quadrilateral.

(1) Statement 1 says: All the other 3 angles = 280. Therefore, ADC must equal 80. Sufficient.

(2) Statement 2 has a similar format but says: 2 of the angles + ADC = 300. You can´t know what ADC is since ABC is now not included in this equation. Insufficient.


Takeaways from this question
- Know your Geometry formulae cold
- Don´t assume things away (especially in DS Geometry)
- Be aware of DS Combo Questions
- Be aware of similar-format statements. One could be sufficient and the other insufficient!




Basic question:

How do we draw this quadrilateral?
We could label nodes in different orders and the whole meaning of the angles would be different. Is there a convention line the letters are in order in clockwise?

Let's say we have two nodes on top and two lower: lower left node could be C or D. How do we know what is assumed by the question?

Kudos [?]: 8 [0], given: 43

Re: In quadrilateral ABCD, what is the value of angle ADC?   [#permalink] 16 Sep 2017, 20:36
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In quadrilateral ABCD, what is the value of angle ADC?

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