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# Which of the following could be the four angles of a parallelogram?

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Joined: 02 Sep 2009
Posts: 53066
Which of the following could be the four angles of a parallelogram?  [#permalink]

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09 Oct 2018, 22:23
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Difficulty:

35% (medium)

Question Stats:

64% (00:44) correct 36% (00:37) wrong based on 34 sessions

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Which of the following could be the four angles of a parallelogram?

(I) 50°, 130°, 50°, 130°
(II) 125°, 50°, 125°, 60°
(III) 60°, 110°, 60°, 110°

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

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Re: Which of the following could be the four angles of a parallelogram?  [#permalink]

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10 Oct 2018, 00:56
Bunuel wrote:
Which of the following could be the four angles of a parallelogram?

(I) 50°, 130°, 50°, 130°
(II) 125°, 50°, 125°, 60°
(III) 60°, 110°, 60°, 110°

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

For a parallelogram, Sum of four angles = 360 and there must two pairs of angles supplementary of each other

(I) 50°, 130°, 50°, 130° Satisfies the condition
(II) 125°, 50°, 125°, 60° Does NOT satisfy the condition as two pairs of supplementary angles are missing
(III) 60°, 110°, 60°, 110° Does NOT satisfy the condition as two pairs of supplementary angles are missing also, sum of four angles is not 360

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Re: Which of the following could be the four angles of a parallelogram?  [#permalink]

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13 Oct 2018, 17:31
Bunuel wrote:
Which of the following could be the four angles of a parallelogram?

(I) 50°, 130°, 50°, 130°
(II) 125°, 50°, 125°, 60°
(III) 60°, 110°, 60°, 110°

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

A parallelogram always has two sets of equal angles, and the 4 angles must sum to 360 degrees. Thus, only I is true.

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Re: Which of the following could be the four angles of a parallelogram?   [#permalink] 13 Oct 2018, 17:31
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