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# In the parallelogram above, what is the measure of angle ABC?

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Math Expert
Joined: 02 Sep 2009
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In the parallelogram above, what is the measure of angle ABC?  [#permalink]

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29 Aug 2018, 02:12
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Difficulty:

35% (medium)

Question Stats:

73% (00:37) correct 27% (00:44) wrong based on 25 sessions

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In the parallelogram above, what is the measure of angle ABC?

(2) The sum of angles ABC and BCD is 180°.

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image005.jpg [ 3.73 KiB | Viewed 273 times ]

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In the parallelogram above, what is the measure of angle ABC?  [#permalink]

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29 Aug 2018, 02:22
Important Note Regarding Parallelograms:

Consecutive angles in a parallelogram are supplementary.

From 1:

Angle D = 55.
Then angle A and C is 125 and Similarly Angle B is 55.
Sufficient.

From 2:

No extra info.
Insufficient.

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In the parallelogram above, what is the measure of angle ABC?  [#permalink]

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29 Aug 2018, 02:26
Bunuel wrote:

In the parallelogram above, what is the measure of angle ABC?

(2) The sum of angles ABC and BCD is 180°.

Attachment:
image005.jpg

Question stem:- what is the measure of angle ABC?

Note:- Opposite angels of a parallelogram are congruent (D = B, A = C).

As per note, $$\angle{ADC}=\angle{ABC}=55°$$
Sufficient.

St2:- The sum of angles ABC and BCD is 180°

Note:- Consecutive angles of a parallelogram are supplementary (B + C =180°, A + D = 180° )
St2 is nothing but the property of angles of the parallelogram.
Insufficient.

Ans. (A)
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Re: In the parallelogram above, what is the measure of angle ABC?  [#permalink]

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29 Aug 2018, 05:10
Angle ABC = Angle ADC = 55 ( Opposite angle of a parallelogram )
Sufficient

(2) The sum of angles ABC and BCD is 180°.
No new information
Insufficient

Hence, A.
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Re: In the parallelogram above, what is the measure of angle ABC? &nbs [#permalink] 29 Aug 2018, 05:10
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