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# Which of the following are possible values for the angles of a

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Math Expert
Joined: 02 Sep 2009
Posts: 47166
Which of the following are possible values for the angles of a  [#permalink]

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22 Oct 2017, 06:09
00:00

Difficulty:

5% (low)

Question Stats:

89% (00:27) correct 11% (00:41) wrong based on 55 sessions

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Which of the following are possible values for the angles of a parallelogram?

I. 90°, 90°, 90°, 90°
II. 40°, 70°, 50°, 140°
III. 50°, 130°, 50°, 130°

(A) I only
(B) II only
(C) I and III only
(D) II and III only
(E) I, II, and III

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Intern
Joined: 24 Jun 2017
Posts: 3
Re: Which of the following are possible values for the angles of a  [#permalink]

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22 Oct 2017, 06:37
Sum of angles of a parallelogram= (n-2)*180 = 360
&
Opposite angles are equal

I) 90+90+90+90 = 360 & opp angles equal
II) Opposite angles Not equal
III) 50+130+50+130 = 360
Yes

Ans: C

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Manager
Joined: 09 Aug 2017
Posts: 62
Location: United States
Concentration: Technology
GMAT 1: 640 Q44 V33
GMAT 2: 630 Q47 V29
WE: Research (Investment Banking)
Re: Which of the following are possible values for the angles of a  [#permalink]

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25 Oct 2017, 13:04
I went with C.

Option I is a square which is a parallelogram.
Option II cannot be a parallelogram because the angles don't sum to 360 and the sides wouldn't be parallel.
Option III is a parallelogram, opposite angles are the same size and it sums to 360.
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Re: Which of the following are possible values for the angles of a &nbs [#permalink] 25 Oct 2017, 13:04
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