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Math Expert V
Joined: 02 Sep 2009
Posts: 58453
In the parallelogram above, what is the measure of angle ABC?  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 80% (00:45) correct 20% (00:39) wrong based on 30 sessions

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

(1) Angle ADC is 55°.
(2) The sum of angles ABC and BCD is 180°.

Attachment: image005.jpg [ 3.73 KiB | Viewed 424 times ]

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

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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.

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

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

(1) Angle ADC is 55°.
(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).

St1:- Angle ADC is 55°.

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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(1) Angle ADC is 55°.
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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Thanks  Re: In the parallelogram above, what is the measure of angle ABC?   [#permalink] 29 Aug 2018, 05:10
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