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In parallelogram ABCD , what is the measure of ∠ADC?

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In parallelogram ABCD , what is the measure of ∠ADC? [#permalink] New post 04 Apr 2013, 02:03
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ABCD.png
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In parallelogram ABCD , what is the measure of ∠ADC?

(1) The measure of ∠ABC is greater than 90
(2) The measure of ∠BCD is 70
[Reveal] Spoiler: OA

Last edited by Bunuel on 04 Apr 2013, 02:53, edited 1 time in total.
Renamed the topic and edited the question.
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Re: In parallelogram ABCD , what is the measure of ∠ADC? [#permalink] New post 04 Apr 2013, 02:58
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In parallelogram ABCD , what is the measure of ∠ADC?

(1) The measure of ∠ABC is greater than 90/ Clearly insufficient.

(2) The measure of ∠BCD is 70. Usefull propery: the adjacent angles of a parallelogram are supplementary (supplementary angles are two angles that add up to 180°), so ∠BCD + ∠ADC = 180 --> 70 + ∠ADC =180 --> ∠ADC = 110. Sufficient.

Answer: B.

For more on polygons check Polygons chapter of Math Book: math-polygons-87336.html

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Re: In parallelogram ABCD , what is the measure of ∠ADC? [#permalink] New post 04 Apr 2013, 03:31
lovejyot wrote:
Attachment:
ABCD.png
In parallelogram ABCD , what is the measure of ∠ADC?

(1) The measure of ∠ABC is greater than 90
(2) The measure of ∠BCD is 70


from, st(1) more thn one possibilities ...pls read properties of parallelogram...
from st(2) it is clear tht ∠BCD + ∠ADC = 180 , so we get ∠ADC
i think , from st(2) we can answer ths Qs!
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Re: In parallelogram ABCD , what is the measure of ∠ADC? [#permalink] New post 09 Dec 2014, 06:15
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Re: In parallelogram ABCD , what is the measure of ∠ADC? [#permalink] New post 23 Dec 2014, 21:39
Expert's post
lovejyot wrote:
Attachment:
ABCD.png
In parallelogram ABCD , what is the measure of ∠ADC?

(1) The measure of ∠ABC is greater than 90
(2) The measure of ∠BCD is 70



(1) This leads to several possible answers, hence insufficient.

(2) ∠BCD + ∠ADC = 180 As we already know that the first one is 70, the second is 180-70. Thus, sufficient.

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Re: In parallelogram ABCD , what is the measure of ∠ADC?   [#permalink] 23 Dec 2014, 21:39
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